Bong H. Lian

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All published works

Action	Title	Year	Authors
+ PDF Chat	Mirror symmetry for double cover Calabi–Yau varieties	2024	Shinobu Hosono Tsung-Ju Lee Bong H. Lian Shing‐Tung Yau
+	Non-commutative resolutions as mirrors of singular Calabi--Yau varieties	2023	Tsung-Ju Lee Bong H. Lian Mauricio Romo
+ PDF Chat	On a conjecture of Huang–Lian–Yau–Yu	2023	Tsung-Ju Lee Bong H. Lian Dingxin Zhang
+ PDF Chat	Hasse–Witt matrices, unit roots and period integrals	2022	An Huang Bong H. Lian Shing‐Tung Yau Chenglong Yu
+ PDF Chat	On Calabi–Yau fractional complete intersections	2022	Tsung-Ju Lee Bong H. Lian Shing‐Tung Yau
+	On the hyperplane conjecture for periods of Calabi–Yau hypersurfaces in $\mathbf{P}^n$	2021	Bong H. Lian Minxian Zhu
+	$\ell$-adic Tautological Systems	2021	Lei Fu An Huang Bong H. Lian Shing‐Tung Yau Dingxin Zhang Xinwen Zhu
+ PDF Chat	Period integrals of vector bundle sections and tautological systems	2021	An Huang Bong H. Lian Shing–Tung Yau Chenglong Yu
+	Vertex Algebras and Commutative Algebras	2021	Bong H. Lian Andrew R. Linshaw
+	On Calabi--Yau fractional complete intersections	2020	Tsung-Ju Lee Bong H. Lian Shing‐Tung Yau
+	Mirror symmetry for double cover Calabi--Yau varieties	2020	Shinobu Hosono Tsung-Ju Lee Bong H. Lian Shing‐Tung Yau
+ PDF Chat	CY principal bundles over compact Kähler manifolds	2020	Jingyue Chen Bong H. Lian
+	On a conjecture of Huang--Lian--Yau--Yu	2020	Tsung-Ju Lee Bong H. Lian Dingxin Zhang
+ PDF Chat	K3 surfaces from configurations of six lines in $\mathbb{P}^2$ and mirror symmetry I	2020	Shinobu Hosono Bong H. Lian Hiromichi Takagi Shing‐Tung Yau
+	On Calabi--Yau fractional complete intersections	2020	Tsung-Ju Lee Bong H. Lian Shing‐Tung Yau
+ PDF Chat	K3 surfaces from configurations of six lines in ℙ2 and mirror symmetry II—λ<i>K</i>3-functions	2019	Shinobu Hosono Bong H. Lian Shing‐Tung Yau
+	K3 surfaces from configurations of six lines in $\mathbb{P}^{2}$ and mirror symmetry II --- $λ_{K3}$-functions ---	2019	Shinobu Hosono Bong H. Lian Shing‐Tung Yau
+ PDF Chat	Jacobian rings for homogenous vector bundles and applications	2018	An Huang Bong H. Lian Shing‐Tung Yau Chenglong Yu
+	Period integrals of local complete intersections and tautological systems	2018	An Huang Bong H. Lian Shing‐Tung Yau Chenglong Yu
+	Jacobian rings for homogenous vector bundles and applications	2018	An Huang Bong H. Lian Shing‐Tung Yau Chenglong Yu
+ PDF Chat	Differential zeros of period integrals and generalized hypergeometric functions	2018	Jingyue Chen An Huang Bong H. Lian Shing‐Tung Yau
+	K3 surfaces from configurations of six lines in $\mathbb{P}^2$ and mirror symmetry I	2018	Shinobu Hosono Bong H. Lian Hiromichi Takagi Shing‐Tung Yau
+	Hasse-Witt matrices, unit roots and period integrals	2018	An Huang Bong H. Lian Shing‐Tung Yau Chenglong Yu
+	String-Math 2015	2017	Si Li Bong H. Lian Wei Song Shing‐Tung Yau
+	Differential Zeros of Certain Special Functions	2017	Jingyue Chen An Huang Bong H. Lian Shing‐Tung Yau
+	Period integrals and tautological systems	2017	An Huang Bong H. Lian Shing‐Tung Yau Chenglong Yu
+	Differential zeros of period integrals and generalized hypergeometric functions	2017	Jingyue Chen An Huang Bong H. Lian Shing‐Tung Yau
+ PDF Chat	Period integrals and the Riemann–Hilbert correspondence	2016	An Huang Bong H. Lian Xinwen Zhu
+	On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in $\mathbb P^n$	2016	Bong H. Lian Minxian Zhu
+ PDF Chat	Chain integral solutions to tautological systems	2016	An Huang Bong H. Lian Shing‐Tung Yau Xinwen Zhu
+	Holonomic systems for period mappings	2015	Jingyue Chen An Huang Bong H. Lian
+	Chain Integral Solutions to Tautological Systems	2015	An Huang Bong H. Lian Shing‐Tung Yau Xinwen Zhu
+ PDF Chat	On the holonomic rank problem	2014	Spencer Bloch An Huang Bong H. Lian Vasudevan Srinivas Shing‐Tung Yau
+	CY Principal Bundles over Compact Kähler Manifolds	2014	Jingyue Chen Bong H. Lian
+ PDF Chat	Periodic integrals and tautological systems	2013	Bong H. Lian Ruifang Song Shing‐Tung Yau
+	On the Holonomic Rank Problem	2013	Spencer Bloch An Huang Bong H. Lian Vasudevan Srinivas Shing–Tung Yau
+	Period Integrals and the Riemann-Hilbert Correspondence	2013	An Huang Bong H. Lian Xinwen Zhu
+	Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces	2012	Si Li Bong H. Lian Shing‐Tung Yau
+ PDF Chat	Period integrals of CY and general type complete intersections	2012	Bong H. Lian Shing‐Tung Yau
+	Period Integrals and Tautological Systems	2011	Bong H. Lian Ruifang Song Shing‐Tung Yau
+	Chiral equivariant cohomology of spheres	2011	Bong H. Lian Andrew R. Linshaw Bailin Song
+	Period Integrals and Tautological Systems	2011	Bong H. Lian Ruifang Song Shing‐Tung Yau
+	Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University	2011	Jeffrey Adams Bong H. Lian Siddhartha Sahi
+ PDF Chat	Chiral equivariant cohomology III	2010	Bong H. Lian Andrew R. Linshaw Bailin Song
+	Picard-Fuchs Equations for Relative Periods and Abel-Jacobi Map for Calabi-Yau Hypersurfaces	2009	Si Li Bong H. Lian Shing‐Tung Yau
+ PDF Chat	Chiral equivariant cohomology II	2008	Bong H. Lian Andrew R. Linshaw Bailin Song
+ PDF Chat	Howe pairs in the theory of vertex algebras	2007	Bong H. Lian Andrew R. Linshaw
+	Reduced Delzant spaces and a convexity theorem	2007	Bong H. Lian Bailin Song
+	Chiral Equivariant Cohomology III	2007	Bong H. Lian Andrew R. Linshaw Bailin Song
+ PDF Chat	Chiral equivariant cohomology I	2006	Bong H. Lian Andrew R. Linshaw
+	Genus Zero Modular Functions	2006	Bong H. Lian Joshua L. Wiczer
+ PDF Chat	Maximal unipotent monodromy for complete intersection CY manifolds	2005	Bong H. Lian Andrey Todorov Shing‐Tung Yau
+	A Convexity Theorem and Reduced Delzant Spaces	2005	Bong H. Lian Bailin Song
+	Fourier-Mukai number of a K3 surface	2004	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Autoequivalences of derived category of a K3 surface and monodromy transformations	2004	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+ PDF Chat	Kummer structures on a K3 surface: An old question of T. Shioda	2003	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+ PDF Chat	c = 2 Rational Toroidal Conformal Field Theories via the Gauss Product	2003	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Counting Unimodular Lattices in $\R^{r,s}$	2003	Shinobu Hosono Keiji Oguiso Bong H. Lian Shing‐Tung Yau
+	Fourier-Mukai partners of a 𝐾3 surface of Picard number one	2003	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Classification of c=2 Rational Conformal Field Theories via the Gauss Product	2002	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Fourier-Mukai partners of a K3 surface of Picard number one	2002	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	A reconstruction of Euler data	2002	Bong H. Lian Chien‐Hao Liu Shing‐Tung Yau
+	Counting Fourier-Mukai Partners and Deformations	2002	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Counting Fourier-Mukai partners and applications	2002	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Fourier-Mukai partners of a K3 surface of Picard number one	2002	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations	2002	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Kummer structures on a K3 surface - An old question of T. Shioda	2002	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Fourier-Mukai number of a K3 surface	2002	Shinobu Hosono Bong H. Lian Keiji Oguiso Shing‐Tung Yau
+	Some applications of mirror principle	2002	Bong H. Lian Kefeng Liu Shing‐Tung Yau
+	The $S^1$ fixed points in Quot-schemes and mirror principle computations	2001	Bong H. Lian Chien‐Hao Liu Kefeng Liu Shing‐Tung Yau
+	Maximal Unipotent Monodromy for Complete Intersection CY Manifolds	2000	Bong H. Lian Andrey Todorov Shing‐Tung Yau
+	A reconstruction of Euler data	2000	Bong H. Lian Chien‐Hao Liu Shing‐Tung Yau
+	A Survey of Mirror Principle	2000	Bong H. Lian Kefeng Liu Shing‐Tung Yau
+	Mirror Principle IV	2000	Bong H. Lian Kefeng Liu Shing-Tung Yau
+	Mirror Principle II	1999	Bong H. Lian Kefeng Liu Shing‐Tung Yau
+ PDF Chat	Differential equations from mirror symmetry	1999	Bong H. Lian Shing‐Tung Yau
+ PDF Chat	Mirror principle III	1999	Bong H. Lian Kefeng Liu Shing‐Tung Yau
+ PDF Chat	Mirror principle II	1999	Bong H. Lian Kefeng Liu Shing‐Tung Yau
+	Mirror Principle II	1999	Bong H. Lian Kefeng Liu Shing-Tung Yau
+	Mirror Principle III	1999	Bong H. Lian K. Liu Shing‐Tung Yau
+	The Candelas-de la Ossa-Green-Parkes formula	1998	Bong H. Lian Kefeng Liu Shing‐Tung Yau
+ PDF Chat	Calabi-Yau four-folds for M- and F-theory compactifications	1998	Albrecht Klemm Bong H. Lian Shi-shyr Roan S.-T. Yau
+ PDF Chat	Maximal degeneracy points of GKZ systems	1997	Shinobu Hosono Bong H. Lian Shing‐Tung Yau
+ PDF Chat	GKZ-Generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces	1996	Shinobu Hosono Bong H. Lian Shing‐Tung Yau
+ PDF Chat	Mirror maps, modular relations and hypergeometric series II	1996	Bong H. Lian Shing‐Tung Yau
+ PDF Chat	Arithmetic properties of mirror map and quantum coupling	1996	Bong H. Lian Shing‐Tung Yau
+	Calabi-Yau Varieties and Pencils of K3 Surfaces	1996	Shinobu Hosono Bong H. Lian S.-T. Yau
+	GKZ Hypergeometric Systems and Applications to Mirror Symmetry	1996	Shinobu Hosono Bong H. Lian
+ PDF Chat	A Note on ODEs from Mirror Symmetry	1996	Albrecht Klemm Bong H. Lian Shi-shyr Roan Shing‐Tung Yau
+	Maximal Degeneracy Points of GKZ Systems	1996	Shinobu Hosono Bong H. Lian Shing‐Tung Yau
+	Commutative quantum operator algebras	1995	Bong H. Lian Gregg J. Zuckerman
+	Moonshine Cohomology(Moonshine and Verdex Operator Algebra)	1995	Bong H. Lian Gregg J. Zuckerman
+	Moonshine Cohomology	1995	Bong H. Lian Gregg J. Zuckerman
+	Algebraic and Geometric Structures in String Backgrounds	1995	Bong H. Lian Gregg J. Zuckerman
+	From String Backgrounds to Topological Field Theories	1995	Bong H. Lian Gregg J. Zuckerman
+	Commutative Quantum Operator Algebras	1995	Bong H. Lian Gregg J. Zuckerman
+	Mirror Maps, Modular Relations and Hypergeometric Series I	1995	Bong H. Lian Shing‐Tung Yau
+	Moonshine Cohomology	1995	Bong H. Lian Gregg J. Zuckerman
+ PDF Chat	On the classification of simple vertex operator algebras	1994	Bong H. Lian
+ PDF Chat	Some Classical and Quantum Algebras	1994	Bong H. Lian Gregg J. Zuckerman
+	A Note on ODEs from Mirror Symmetry	1994	Albrecht Klemm Bong H. Lian Shi-shyr Roan S. -T. Yau
+	Some Classical and Quantum Algebras	1994	Bong H. Lian Gregg J. Zuckerman
+ PDF Chat	New perspectives on the BRST-algebraic structure of string theory	1993	Bong H. Lian Gregg J. Zuckerman
+	An application of infinite-dimensional Lie theory to semisimple Lie groups	1993	Bong H. Lian Gregg J. Zuckerman
+ PDF Chat	Semi-infinite homology and 2D gravity. I	1992	Bong H. Lian Gregg J. Zuckerman
+	2D gravity with c=1 matter	1991	Bong H. Lian Gregg J. Zuckerman
+	New selection rules and physical states in 2D gravity Conformal gauge	1991	Bong H. Lian Gregg J. Zuckerman
+ PDF Chat	BRST cohomology and highest weight vectors. I	1991	Bong H. Lian Gregg J. Zuckerman
+ PDF Chat	BRST cohomology of the super-Virasoro Algebras	1989	Bong H. Lian Gregg J. Zuckerman

Common Coauthors

Coauthor	Papers Together
Shing‐Tung Yau	47
Shinobu Hosono	25
An Huang	16
Gregg J. Zuckerman	16
Shing‐Tung Yau	16
Keiji Oguiso	14
Tsung-Ju Lee	8
Andrew R. Linshaw	7
Kefeng Liu	7
Chenglong Yu	7
Jingyue Chen	6
Xinwen Zhu	5
Bailin Song	5
Shi-shyr Roan	3
Albrecht Klemm	3
Dingxin Zhang	3
Chien‐Hao Liu	3
Shing-Tung Yau	2
Andrey Todorov	2
Hiromichi Takagi	2
Si Li	2
Shing‐Tung Yau	2
Minxian Zhu	2
Vasudevan Srinivas	2
Spencer Bloch	2
An Huang	2
Kefeng Liu	1
Si Li	1
S.-T. Yau	1
Bailin Song	1
Jeffrey Adams	1
Mauricio Romo	1
S. -T. Yau	1
Lei Fu	1
Joshua L. Wiczer	1
Ruifang Song	1
Wei Song	1
Ruifang Song	1
Ruifang Song	1
K. Liu	1
S.-T. Yau	1
Siddhartha Sahi	1
Kefeng Liu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	GKZ-Generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces	1996	Shinobu Hosono Bong H. Lian Shing‐Tung Yau	22
+	A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory	1991	Philip Candelas Xenia C. de la Ossa Paul S. Green Linda Parkes	17
+	Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties	1993	Victor V. Batyrev	14
+ PDF Chat	Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces	1995	Shinobu Hosono Albrecht Klemm Stefan Theisen Shing‐Tung Yau	14
+	Semi-infinite cohomology and string theory	1986	Igor Frenkel Howard Garland Gregg J. Zuckerman	13
+ PDF Chat	Period integrals of CY and general type complete intersections	2012	Bong H. Lian Shing‐Tung Yau	12
+ PDF Chat	Maximal degeneracy points of GKZ systems	1997	Shinobu Hosono Bong H. Lian Shing‐Tung Yau	12
+	Hypergeometric functions and rings generated by monomials	1994	Alan Adolphson	11
+ PDF Chat	On the holonomic rank problem	2014	Spencer Bloch An Huang Bong H. Lian Vasudevan Srinivas Shing‐Tung Yau	10
+	The semi-infinite homology of Kac-Moody and Virasoro Lie algebras	1984	Boris Feigin	10
+ PDF Chat	On Calabi-Yau complete intersections in toric varieties	2012	Victor V. Batyrev Lev Borisov	9
+ PDF Chat	Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces	1995	Shinobu Hosono Albrecht Klemm S. Thiesen S-T Yau	9
+	INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS	1980	Vadim V. Nikulin	9
+ PDF Chat	Period integrals and the Riemann–Hilbert correspondence	2016	An Huang Bong H. Lian Xinwen Zhu	9
+ PDF Chat	Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties	1995	Victor V. Batyrev Duco van Straten	8
+	On the Periods of Certain Rational Integrals: I	1969	Philip A. Griffiths	8
+	Hypergeometric functions and toral manifolds	1989	I. M. Gel'fand A. V. Zelevinskii Mikhail Kapranov	8
+ PDF Chat	Phases of N = 2 theories in two dimensions	1993	Edward Witten	8
+	New selection rules and physical states in 2D gravity Conformal gauge	1991	Bong H. Lian Gregg J. Zuckerman	8
+ PDF Chat	Vertex algebras, Kac-Moody algebras, and the Monster	1986	Richard E. Borcherds	8
+ PDF Chat	Classical and quantum conformal field theory	1989	Gregory Moore Nathan Seiberg	7
+	Rational Quadratic Forms	1982	J. W. S. Cassels	7
+	The moment map and equivariant cohomology	1984	Michael Atiyah R. Bott	7
+	Supersymmetry and Equivariant de Rham Theory	1999	Victor Guillemin Shlomo Sternberg Jochen Brüning	7
+	Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori	1993	Victor V. Batyrev	7
+	On axiomatic approaches to vertex operator algebras and modules	1993	Igor Frenkel Yi-Zhi Huang James Lepowsky	7
+ PDF Chat	Complex surfaces with equivalent derived categories	2001	Tom Bridgeland Antony Maciocia	7
+	Equivariant cohomology, Koszul duality, and the localization theorem	1997	Mark Goresky Robert Kottwitz Robert MacPherson	7
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	7
+	The Topology of Torus Actions on Symplectic Manifolds	1991	Michèle Audin	7
+ PDF Chat	Infinite conformal symmetry in two-dimensional quantum field theory	1984	A. A. Belavin A. Polyakov A. B. Zamolodchikov	7
+ PDF Chat	Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties	1995	David R. Morrison M. Ronen Plesser	7
+ PDF Chat	Topological field theory and rational curves	1993	Paul S. Aspinwall David R. Morrison	6
+	On the Deformation of Rings and Algebras	1964	Murray Gerstenhaber	6
+	The Cohomology Structure of an Associative Ring	1963	Murray Gerstenhaber	6
+	2D gravity with c=1 matter	1991	Bong H. Lian Gregg J. Zuckerman	6
+	Mirror Symmetry	2003	Eric Zaslow Ravi Vakil Kentaro Hori Richard P. Thomas Cumrun Vafa Albrecht Klemm Rahul Pandharipande Sheldon Katz	6
+	Introduction to Toric Varieties.	1993	William Fulton	6
+	Vertex operator algebras associated to representations of affine and Virasoro algebras	1992	Igor Frenkel Yongchang Zhu	6
+ PDF Chat	New perspectives on the BRST-algebraic structure of string theory	1993	Bong H. Lian Gregg J. Zuckerman	6
+	Homogeneous Vector Bundles	1957	Raoul Bott	6
+	Commutative quantum operator algebras	1995	Bong H. Lian Gregg J. Zuckerman	6
+	Symplectic structure of the moduli space of sheaves on an abelian or K3 surface	1984	Shigeru Mukai	6
+	Topological Methods in Algebraic Geometry	1966	Friedrich Hirzebruch	5
+ PDF Chat	On operad structures of moduli spaces and string theory	1995	Takashi Kimura Jim Stasheff Alexander A. Voronov	5
+	Duality in Calabi-Yau moduli space	1990	Brian Greene M. Ronen Plesser	5
+	Picard-Fuchs equations and mirror maps for hypersurfaces	1991	David R. Morrison	5
+	Convexity properties of the moment mapping. II	1984	Victor Guillemin S. Sternberg	5
+ PDF Chat	Enumeration of Rational Curves Via Torus Actions	1995	Maxim Kontsevich	5
+	Convexity and Commuting Hamiltonians	1982	Michael Atiyah	5