Daniel S. Freed

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All published works

Action	Title	Year	Authors
+ PDF Chat	Simons Lectures on Categorical Symmetries	2024	Daniel Costa Clay Córdova Michele Del Zotto Daniel S. Freed Jonte Gödicke Aaron Hofer David Starr Jordan Davide Morgante Robert Moscrop Kantaro Ohmori
+	Index theory on Pin manifolds	2024	Daniel S. Freed
+	Topological symmetry in quantum field theory	2024	Daniel S. Freed Gregory W. Moore Constantin Teleman
+ PDF Chat	Gapped theories have torsion anomalies	2024	Clay Córdova Daniel S. Freed Constantin Teleman
+ PDF Chat	Index theory on Pin manifolds	2024	Daniel S. Freed
+	The Odd Fermion	2024	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+ PDF Chat	The dilogarithm and abelian Chern–Simons	2023	Daniel S. Freed Andrew Neitzke
+	What is an anomaly?	2023	Daniel S. Freed
+ PDF Chat	Topological dualities in the Ising model	2022	Daniel S. Freed Constantin Teleman
+	Snowmass Whitepaper: Physical Mathematics 2021	2022	Ibrahima Bah Daniel S. Freed Gregory W. Moore Nikita Nekrasov Shlomo S. Razamat Sakura Schäfer‐Nameki
+	Topological symmetry in quantum field theory	2022	Daniel S. Freed Gregory W. Moore Constantin Teleman
+	3d spectral networks and classical Chern-Simons theory	2022	Daniel S. Freed Andrew Neitzke
+	A Panorama Of Physical Mathematics c. 2022	2022	Ibrahima Bah Daniel S. Freed Gregory W. Moore Nikita Nekrasov Shlomo S. Razamat Sakura Schäfer‐Nameki
+	Introduction to topological symmetry in QFT	2022	Daniel S. Freed
+ PDF Chat	Quantum Field Theory and Manifold Invariants	2021	Daniel S. Freed Sergei Gukov Ciprian Manolescu Constantin Teleman Ulrike Tillmann
+ PDF Chat	Gapped Boundary Theories in Three Dimensions	2021	Daniel S. Freed Constantin Teleman
+ PDF Chat	The Atiyah–Singer index theorem	2021	Daniel S. Freed
+ PDF Chat	Reflection positivity and invertible topological phases	2021	Daniel S. Freed Michael J. Hopkins
+ PDF Chat	Consistency of M-Theory on Non-Orientable Manifolds	2021	Daniel S. Freed Michael J. Hopkins
+	Determinant Line Bundles Revisited	2021	Daniel S. Freed
+	The Atiyah-Singer index theorem	2021	Daniel S. Freed
+ PDF Chat	3d spectral networks and classical Chern–Simons theory	2021	Daniel S. Freed Andrew Neitzke
+	Gapped boundary theories in three dimensions	2020	Daniel S. Freed Constantin Teleman
+ PDF Chat	Anomalies in the space of coupling constants and their dynamical applications II	2020	Clay Córdova Daniel S. Freed Ho Tat Lam Nathan Seiberg
+ PDF Chat	Anomalies in the space of coupling constants and their dynamical applications I	2020	Clay Córdova Daniel S. Freed Ho Tat Lam Nathan Seiberg
+ PDF Chat	Invertible phases of matter with spatial symmetry	2020	Daniel S. Freed Michael J. Hopkins
+	The dilogarithm and abelian Chern-Simons	2020	Daniel S. Freed Andrew Neitzke
+ PDF Chat	Report on 1905.13361v2	2019	Clay Córdova Daniel S. Freed Ho Tat Lam Nathan Seiberg
+ PDF Chat	Report on 1905.09315v2	2019	Clay Córdova Daniel S. Freed Ho Tat Lam Nathan Seiberg
+ PDF Chat	Report on 1905.09315v2	2019	Clay Córdova Daniel S. Freed Ho Tat Lam Nathan Seiberg
+ PDF Chat	Report on 1905.13361v2	2019	Clay Córdova Daniel S. Freed Ho Tat Lam Nathan Seiberg
+	M-Theory anomaly cancellation	2019	Daniel S. Freed Michael J. Hopkins
+	Consistency of M-Theory on nonorientable manifolds.	2019	Daniel S. Freed Michael J. Hopkins
+	Lectures on Field Theory and Topology	2019	Daniel S. Freed
+	Bordism and topological field theories	2019	Daniel S. Freed
+	Non-topological invertible field theories	2019	Daniel S. Freed
+	Invertibility and stable homotopy theory	2019	Daniel S. Freed
+	Invertible phases of matter with spatial symmetry	2019	Daniel S. Freed Michael J. Hopkins
+	Consistency of M-Theory on nonorientable manifolds	2019	Daniel S. Freed Michael J. Hopkins
+	Invertible phases of matter with spatial symmetry	2019	Daniel S. Freed Michael J. Hopkins
+	Topological dualities in the Ising model	2018	Daniel S. Freed Constantin Teleman
+ PDF Chat	The Sum Over Topological Sectors and θ in the 2+1-Dimensional $${\mathbb{CP}^1 \sigma}$$-Model	2018	Daniel S. Freed Zohar Komargodski Nathan Seiberg
+ PDF Chat	On equivariant Chern–Weil forms and determinant lines	2017	Daniel S. Freed
+	On equivariant Chern-Weil forms and determinant lines	2016	Daniel S. Freed
+	On equivariant Chern-Weil forms and determinant lines	2016	Daniel S. Freed
+ PDF Chat	Pumping conductance, the intrinsic anomalous Hall effect, and statistics of topological invariants	2015	J. P. Dahlhaus Roni Ilan Daniel S. Freed Michael Freedman Joel E. Moore
+	Dirac families for loop groups as matrix factorizations	2015	Daniel S. Freed Constantin Teleman
+ PDF Chat	Anomalies and Invertible Field Theories	2014	Daniel S. Freed
+	Dirac Families for Loop Groups as Matrix Factorizations	2014	Daniel S. Freed Constantin Teleman
+ PDF Chat	Relative Quantum Field Theory	2014	Daniel S. Freed Constantin Teleman
+	Short-range entanglement and invertible field theories	2014	Daniel S. Freed
+	Dirac Families for Loop Groups as Matrix Factorizations	2014	Daniel S. Freed Constantin Teleman
+	Anomalies and Invertible Field Theories	2014	Daniel S. Freed
+ PDF Chat	Chern–Weil forms and abstract homotopy theory	2013	Daniel S. Freed Michael J. Hopkins
+ PDF Chat	Twisted Equivariant Matter	2013	Daniel S. Freed Gregory W. Moore
+ PDF Chat	Loop groups and twisted $K$-theory II	2013	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+	Chern-Weil forms and abstract homotopy theory	2013	Daniel S. Freed Michael J. Hopkins
+	Chern-Weil forms and abstract homotopy theory	2013	Daniel S. Freed Michael J. Hopkins
+	Relative quantum field theory	2012	Daniel S. Freed Constantin Teleman
+	The cobordism hypothesis	2012	Daniel S. Freed
+	On Wigner's theorem	2012	Daniel S. Freed
+	The Cobordism hypothesis	2012	Daniel S. Freed
+	Relative quantum field theory	2012	Daniel S. Freed Constantin Teleman
+	The cobordism hypothesis	2012	Daniel S. Freed
+	On Wigner's theorem	2011	Daniel S. Freed
+ PDF Chat	Loop groups and twisted <i>K</i> -theory I	2011	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+ PDF Chat	Loop groups and twisted K-theory III	2011	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+ PDF Chat	Commentary on “Lectures on Morse theory, old and new”	2011	Daniel S. Freed
+	On Wigner's theorem	2011	Daniel S. Freed
+	Geometry, Quantum Fields, and Strings: Categorial Aspects	2010	Peter Bouwknegt Daniel S. Freed Christoph Schweigert
+	Spin structures and superstrings	2010	Jacques Distler Daniel S. Freed Gregory W. Moore
+ PDF Chat	Consistent Orientation of Moduli Spaces	2010	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+ PDF Chat	Topological quantum field theories from compact Lie groups	2010	Daniel S. Freed Michael J. Hopkins Jacob Lurie Constantin Teleman
+ PDF Chat	An index theorem in differential<i>K</i>–theory	2010	Daniel S. Freed John Lott
+	Eisenbud Lectures in Mathematics Physics	2010	Daniel S. Freed
+ PDF Chat	Spin structures and superstrings	2010	Jacques Distler Daniel S. Freed Gregory W. Moore
+	Spin structures and superstrings	2010	Jacques Distler Daniel S. Freed Gregory W. Moore
+	Orientifold Precis	2009	Jacques Distler Daniel S. Freed Gregory W. Moore
+ PDF Chat	Remarks on Chern-Simons theory	2009	Daniel S. Freed
+	Topological Quantum Field Theories from Compact Lie Groups	2009	Daniel S. Freed Michael J. Hopkins Jacob Lurie Constantin Teleman
+	Orientifold Precis	2009	Jacques Distler Daniel S. Freed Gregory W. Moore
+ PDF Chat	Pions and generalized cohomology	2008	Daniel S. Freed
+	Remarks on Chern-Simons Theory	2008	Daniel S. Freed
+ PDF Chat	Twisted equivariant<i>K</i>-theory with complex coefficients	2007	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+ PDF Chat	Arbeitsgemeinschaft mit aktuellem Thema: Twisted K-Theory	2007	Ulrich Bunke Daniel S. Freed Thomas Schick
+	The <i>M</i>-theory 3-form and <i>E</i><sub>8</sub> gauge theory	2007	Emanuel Diaconescu Daniel S. Freed Gregory Moore
+	The Uncertainty of Fluxes	2007	Daniel S. Freed Gregory W. Moore Graeme Segal
+	Elliptic Cohomology: The M -theory 3-form and E 8 gauge theory	2007	Emanuel Diaconescu Daniel S. Freed Gregory Moore
+	Consistent Orientation of Moduli Spaces	2007	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+ PDF Chat	Heisenberg groups and noncommutative fluxes	2006	Daniel S. Freed Gregory W. Moore Graeme Segal
+	Quantum Field Theory, Supersymmetry, and Enumerative Geometry	2006	Daniel S. Freed David R. Morrison Isadore Manuel Singer
+	Classical field theory and supersymmetry	2006	Daniel S. Freed
+ PDF Chat	Setting the Quantum Integrand of M-Theory	2006	Daniel S. Freed Gregory W. Moore
+	Pions and Generalized Cohomology	2006	Daniel S. Freed
+	Heisenberg Groups and Noncommutative Fluxes	2006	Daniel S. Freed Gregory W. Moore Graeme Segal
+	Loop Groups and Twisted K-Theory II	2005	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+	Twisted K-theory and loop group representations	2003	Daniel S. Freed Michael J. Hopkins Constantin Teleman
+	The M-theory 3-form and E8 gauge theory	2003	Emanuel Diaconescu Daniel S. Freed Gregory Moore
+	K-Theory in Quantum Field Theory	2002	Daniel S. Freed
+	Twisted K-theory and loop groups	2002	Daniel S. Freed
+	CLASSICAL CHERN-SIMONS THEORY, PART 2	2002	Daniel S. Freed
+ PDF Chat	Dirac charge quantization and generalized differential cohomology	2002	Daniel S. Freed
+	Erratum: “η-invariants and determinant lines” [J. Math. Phys. <b>35</b>, 5155 (1994)]	2001	Xianzhe Dai Daniel S. Freed
+	The Verlinde algebra is twisted equivariant K-theory	2001	Daniel S. Freed
+	The Verlinde algebra is twisted equivariant K-theory	2001	Daniel S. Freed
+ PDF Chat	K-theory in quantum field theory	2001	Daniel S. Freed
+ PDF Chat	On Ramond-Ramond fields and K-theory	2000	Daniel S. Freed Michael J. Hopkins
+	Dirac Charge Quantization and Generalized Differential Cohomology	2000	Daniel S. Freed
+	Anomalies in String Theory with D-Branes	1999	Daniel S. Freed Edward Witten
+ PDF Chat	Special K�hler Manifolds	1999	Daniel S. Freed
+	Quantum Groups from Path Integrals	1999	Daniel S. Freed
+ PDF Chat	Anomalies in string theory with $D$-branes	1999	Daniel S. Freed Edward Witten
+	Anomalies in String Theory with D-Branes	1999	Daniel S. Freed Edward Witten
+	Supersolutions	1999	Pierre Deligne Daniel S. Freed
+ PDF Chat	Two index theorems in odd dimensions	1998	Daniel S. Freed
+	Gravitational Anomaly Cancellation for M-Theory Fivebranes	1998	Daniel S. Freed Jeffrey A. Harvey Ruben Minasian Gregory Moore
+ PDF Chat	Book Review: The heat kernel Lefschetz fixed point formula for the $\text{Spin}^c$ dirac operator	1997	Daniel S. Freed
+	Two nontrivial index theorems in odd dimensions	1996	Daniel S. Freed
+	Two nontrivial index theorems in odd dimensions	1996	Daniel S. Freed
+	Classical Chern-Simons Theory, 1	1995	Daniel S. Freed
+	Geometry and Quantum Field Theory	1995	Daniel S. Freed Karen Uhlenbeck
+	Quantum Groups from Path Integrals	1995	Daniel S. Freed
+	Determinant Line Bundles Revisited	1995	Daniel S. Freed
+	Quantum Groups from Path Integrals	1995	Daniel S. Freed
+ PDF Chat	η-invariants and determinant lines	1994	Xianzhe Dai Daniel S. Freed
+	Characteristic Numbers and Generalized Path Integrals	1994	Daniel S. Freed
+ PDF Chat	Higher algebraic structures and quantization	1994	Daniel S. Freed
+	Characteristic Numbers and Generalized Path Integrals	1994	Daniel S. Freed
+ PDF Chat	Chern-Simons theory with finite gauge group	1993	Daniel S. Freed Frank Quinn
+	Extended Structures in Topological Quantum Field Theory	1993	Daniel S. Freed
+	Lectures on Topological Quantum Field Theory	1993	Daniel S. Freed
+ PDF Chat	Book Review: Differential topology and quantum field theory	1993	Daniel S. Freed
+	Extended Structures in Topological Quantum Field Theory	1993	Daniel S. Freed
+	A modk index theorem	1992	Daniel S. Freed Richard Melrose
+	Reidemeister torsion, spectral sequences, and Brieskorn spheres.	1992	Daniel S. Freed
+	Locality and Integration in Topological Field Theory	1992	Daniel S. Freed
+	Classical Chern-Simons theory, Part 1	1992	Daniel S. Freed
+ PDF Chat	Computer calculation of Witten's 3-manifold invariant	1991	Daniel S. Freed Robert E. Gompf
+	Computer tests of Witten’s Chern-Simons theory against the theory of three-manifolds	1991	Daniel S. Freed Robert E. Gompf
+	The Yang-Mills Equations	1991	Daniel S. Freed Karen Uhlenbeck
+	Introduction to the First Edition	1991	Daniel S. Freed Karen Uhlenbeck
+	The Collar Theorem	1991	Daniel S. Freed Karen Uhlenbeck
+	Fake ℝ4	1991	Daniel S. Freed Karen Uhlenbeck
+	Taubes’ Theorem	1991	Daniel S. Freed Karen Uhlenbeck
+	Orientability	1991	Daniel S. Freed Karen Uhlenbeck
+ PDF Chat	Instantons and Four-Manifolds	1991	Daniel S. Freed Karen Uhlenbeck
+	?/k-manifolds and families of Dirac operators	1988	Daniel S. Freed
+ PDF Chat	Global anomalies on orbifolds	1988	Daniel S. Freed Cumrun Vafa
+	An index theorem for families of Fredholm operators parametrized by a group	1988	Daniel S. Freed
+ PDF Chat	The geometry of loop groups	1988	Daniel S. Freed
+	Comment: ``Global anomalies on orbifolds''	1988	Daniel S. Freed Cumrun Vafa
+ PDF Chat	Global anomalies on orbifolds	1987	Daniel S. Freed Cumrun Vafa
+ PDF Chat	On Determinant Line Bundles	1987	Daniel S. Freed
+ PDF Chat	Determinants, torsion, and strings	1986	Daniel S. Freed
+	The analysis of elliptic families	1986	Jean‐Michel Bismut Daniel S. Freed
+ PDF Chat	The analysis of elliptic families. I. Metrics and connections on determinant bundles	1986	Jean‐Michel Bismut Daniel S. Freed
+	Probabilities for Intersecting Systems and Random Subsets of Finite Sets	1986	P. C. Fishburn Péter Frankl Daniel S. Freed J. C. Lagarias Andrew Odlyzko
+	Flag Manifolds and Infinite Dimensional Kähler Geometry	1985	Daniel S. Freed
+ PDF Chat	Instantons and Four-Manifolds	1984	Daniel S. Freed Karen Uhlenbeck
+	Cones on ℂℙ2	1984	Daniel S. Freed Karen Uhlenbeck
+	Fake ℝ4	1984	Daniel S. Freed Karen Uhlenbeck
+	Introduction to Taubes’ Theorem	1984	Daniel S. Freed Karen Uhlenbeck
+	Taubes’ Theorem	1984	Daniel S. Freed Karen Uhlenbeck
+	The Yang-Mills Equations	1984	Daniel S. Freed Karen Uhlenbeck
+	The Collar Theorem	1984	Daniel S. Freed Karen Uhlenbeck
+	Manifolds of Connections	1984	Daniel S. Freed Karen Uhlenbeck

Common Coauthors

Coauthor	Papers Together
Constantin Teleman	25
Michael J. Hopkins	23
Karen Uhlenbeck	16
Gregory W. Moore	14
Clay Córdova	8
Nathan Seiberg	7
Ho Tat Lam	6
Jacques Distler	5
Gregory Moore	4
Andrew Neitzke	4
Edward Witten	3
Cumrun Vafa	3
Emanuel Diaconescu	3
Graeme Segal	3
Jean‐Michel Bismut	2
Nikita Nekrasov	2
Sakura Schäfer‐Nameki	2
Robert E. Gompf	2
Jacob Lurie	2
Shlomo S. Razamat	2
Ibrahima Bah	2
Ulrike Tillmann	1
Christoph Schweigert	1
David Starr Jordan	1
Jeffrey A. Harvey	1
Daniel Costa	1
Claudia Scheimbauer	1
Elias Riedel Gårding	1
Xianzhe Dai	1
Ulrich Bunke	1
Isadore Manuel Singer	1
P. C. Fishburn	1
Richard Melrose	1
Frank Quinn	1
Xianzhe Dai	1
Anja Švraka	1
Jonte Gödicke	1
Aaron Hofer	1
Robert Moscrop	1
Thomas Schick	1
Joel E. Moore	1
Zohar Komargodski	1
Sergei Gukov	1
Roni Ilan	1
J. C. Lagarias	1
Davide Morgante	1
Ciprian Manolescu	1
Andrew Odlyzko	1
Michele Del Zotto	1
David R. Morrison	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Spectral asymmetry and Riemannian Geometry. I	1975	Michael Atiyah V. K. Patodi I. M. Singer	35
+ PDF Chat	Quadratic functions in geometry, topology, and M-theory	2005	Michael J. Hopkins I. M. Singer	28
+ PDF Chat	Higher algebraic structures and quantization	1994	Daniel S. Freed	27
+ PDF Chat	Quantum field theory and the Jones polynomial	1989	Edward Witten	27
+ PDF Chat	Topological gauge theories and group cohomology	1990	Robbert Dijkgraaf Edward Witten	18
+ PDF Chat	The analysis of elliptic families. I. Metrics and connections on determinant bundles	1986	Jean‐Michel Bismut Daniel S. Freed	18
+ PDF Chat	On Determinant Line Bundles	1987	Daniel S. Freed	17
+	Characteristic Forms and Geometric Invariants	1974	Shiing-Shen Chern James Simons	16
+	Differential characters and geometric invariants	1985	Jeff Cheeger James Simons	15
+ PDF Chat	On the Classification of Topological Field Theories	2008	Jacob Lurie	14
+ PDF Chat	Loop groups and twisted <i>K</i> -theory I	2011	Daniel S. Freed Michael J. Hopkins Constantin Teleman	14
+ PDF Chat	Chern-Simons theory with finite gauge group	1993	Daniel S. Freed Frank Quinn	14
+	Topological quantum field theories	1988	Michael Atiyah	14
+	Loop Spaces, Characteristic Classes and Geometric Quantization	1993	Jean-Luc Brylinski	13
+	Superconnections and the Chern character	1985	Daniel Quillen	13
+	The Definition of Conformal Field Theory	1988	Graeme Segal	13
+	The analysis of elliptic families	1986	Jean‐Michel Bismut Daniel S. Freed	13
+ PDF Chat	Chern–Weil forms and abstract homotopy theory	2013	Daniel S. Freed Michael J. Hopkins	12
+	Determinants of Cauchy-Riemann operators over a Riemann surface	1985	Daniel Quillen	12
+ PDF Chat	Index theory for skew-adjoint fredholm operators	1969	Michael Atiyah Isadore Manuel Singer	12
+	The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs	1986	Jean‐Michel Bismut	12
+ PDF Chat	Higher-dimensional algebra and topological quantum field theory	1995	John C. Baez James G. Dolan	12
+	Differential Forms in Algebraic Topology	1982	Raoul Bott Loring W. Tu	12
+ PDF Chat	Dirac operators coupled to vector potentials	1984	Michael Atiyah I. M. Singer	12
+ PDF Chat	Determinants, torsion, and strings	1986	Daniel S. Freed	11
+ PDF Chat	η-invariants and determinant lines	1994	Xianzhe Dai Daniel S. Freed	11
+ PDF Chat	Consistent Orientation of Moduli Spaces	2010	Daniel S. Freed Michael J. Hopkins Constantin Teleman	11
+	Characteristic Classes and Homogeneous Spaces, I	1958	A. Borel F. Hirzebruch	11
+	Spectral Asymmetry and Riemannian Geometry	1973	Michael Atiyah V. K. Patodi I. M. Singer	11
+	Fusion rules and modular transformations in 2D conformal field theory	1988	Erik Verlinde	11
+ PDF Chat	Anomalies in string theory with $D$-branes	1999	Daniel S. Freed Edward Witten	10
+ PDF Chat	Lectures on axiomatic topological quantum field theory	1995	Frank Quinn	10
+ PDF Chat	K-theory and Ramond-Ramond charge	1997	Ruben Minasian Gregory Moore	10
+ PDF Chat	Reflection positivity and invertible topological phases	2021	Daniel S. Freed Michael J. Hopkins	10
+	Classical Chern-Simons Theory, 1	1995	Daniel S. Freed	10
+	Vector bundles and homogeneous spaces	2010	M. F. Atiyah F. Hirzebruch J. F. Adams	10
+ PDF Chat	Relative Quantum Field Theory	2014	Daniel S. Freed Constantin Teleman	10
+	Invariants of 3-manifolds via link polynomials and quantum groups	1991	Nicolai Reshetikhin Vladimir G. Turaev	10
+ PDF Chat	Setting the Quantum Integrand of M-Theory	2006	Daniel S. Freed Gregory W. Moore	10
+	The Index of Elliptic Operators: IV	1971	Michael Atiyah I. M. Singer	10
+	THE INDEX OF ELLIPTIC OPERATORS	1997	Michael Atiyah	9
+	Clifford modules	1964	Michael Atiyah R. Bott Alexander Shapiro	9
+	On framings of 3-manifolds	1990	Michael Atiyah	9
+ PDF Chat	Gapped boundary phases of topological insulators via weak coupling	2016	Nathan Seiberg Edward Witten	9
+ PDF Chat	Graded brauer groups and K-theory with local coefficients	1970	Peter Donovan M. Karoubi	9
+ PDF Chat	Generalized global symmetries	2015	Davide Gaiotto Anton Kapustin Nathan Seiberg Brian Willett	9
+	Algebraic and Hamiltonian methods in the theory of non-Abelian anomalies	1984	Lyudvig Dmitrievich Faddeev Samson L. Shatashvili	9
+ PDF Chat	Twisted K-Theory and K-Theory of Bundle Gerbes	2002	Peter Bouwknegt Alan L. Carey Varghese Mathai Michael K. Murray Danny Stevenson	8
+	R-Torsion and the Laplacian on Riemannian manifolds	1971	Daniel Ray I. M. Singer	8
+	An index theorem in differential K-theory	2008	Kevin Robert Klonoff	8