Dan Rutherford

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All published works

Action	Title	Year	Authors
+	Augmented Legendrian cobordism in $J^1S^1$	2023	Yu Pan Dan Rutherford
+ PDF Chat	Augmentations and immersed Lagrangian fillings	2023	Yu Pan Dan Rutherford
+ PDF Chat	Non-fillable Augmentations of Twist Knots	2021	Honghao Gao Dan Rutherford
+ PDF Chat	Sheaves via augmentations of Legendrian surfaces	2021	Dan Rutherford Michael G. Sullivan
+ PDF Chat	Non-fillable augmentations of twist knots	2021	Gao Honghao Dan Rutherford
+	Non-fillable augmentations of twist knots	2021	Honghao Gao Dan Rutherford
+ PDF Chat	Functorial LCH for immersed Lagrangian cobordisms	2021	Yu Pan Dan Rutherford
+	Augmented Legendrian cobordism in $J^1S^1$	2021	Yu Pan Dan Rutherford
+ PDF Chat	Augmentations are sheaves	2020	Lenhard Ng Dan Rutherford Vivek Shende Steven Sivek Eric Zaslow
+	Cellular Legendrian contact homology for surfaces, part I	2020	Dan Rutherford Michael G. Sullivan
+ PDF Chat	Legendrian DGA Representations and the Colored Kauffman Polynomial	2020	Justin A. Murray Dan Rutherford
+ PDF Chat	Satellite ruling polynomials, DGA representations, and the colored HOMFLY-PT polynomial	2020	Caitlin Leverson Dan Rutherford
+	Augmentations and immersed Lagrangian fillings	2020	Yu Pan Dan Rutherford
+	Functorial LCH for immersed Lagrangian cobordisms	2019	Yu Pan Dan Rutherford
+	Sheaves via augmentations of Legendrian surfaces	2019	Dan Rutherford Michael G. Sullivan
+ PDF Chat	Generating families and augmentations for Legendrian surfaces	2018	Dan Rutherford Michael G. Sullivan
+	Satellite ruling polynomials, DGA representations, and the colored HOMFLY-PT polynomial	2018	Caitlin Leverson Dan Rutherford
+ PDF Chat	The cardinality of the augmentation category of a Legendrian link	2017	Lenhard Ng Dan Rutherford Vivek Shende Steven Sivek
+	Cellular Legendrian contact homology for surfaces, part II	2016	Dan Rutherford Michael Sullivan
+	Cellular Legendrian contact homology for surfaces, part I	2016	Dan Rutherford Michael G. Sullivan
+ PDF Chat	Equivalence classes of augmentations and Morse complex sequences of Legendrian knots	2015	Michael Henry Dan Rutherford
+ PDF Chat	Ruling polynomials and augmentations over finite fields	2014	Michael Henry Dan Rutherford
+ PDF Chat	ON THE S<sup>1</sup> × S<sup>2</sup> HOMFLY-PT INVARIANT AND LEGENDRIAN LINKS	2013	M. I. Lavrov Dan Rutherford
+ PDF Chat	A COMBINATORIAL DGA FOR LEGENDRIAN KNOTS FROM GENERATING FAMILIES	2012	Michael Henry Dan Rutherford
+ PDF Chat	Generalized normal rulings and invariants of Legendrian solid torus links	2012	M. I. Lavrov Dan Rutherford
+	On the S^1 x S^2 HOMFLY-PT invariant and Legendrian links	2012	M. I. Lavrov Dan Rutherford
+ PDF Chat	HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links	2011	Dan Rutherford
+	Generalized normal rulings and invariants of Legendrian solid torus links	2011	M. I. Lavrov Dan Rutherford
+ PDF Chat	Generating families and Legendrian contact homology in the standard contact space	2011	Dmitry Fuchs Dan Rutherford
+	HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links	2010	Dan Rutherford
+	The Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: the Fuchs conjecture and beyond	2005	Dan Rutherford

Common Coauthors

Coauthor	Papers Together
Michael G. Sullivan	5
M. I. Lavrov	4
Yu Pan	4
Michael Henry	3
Honghao Gao	2
Caitlin Leverson	2
Vivek Shende	2
Lenhard Ng	2
Steven Sivek	2
Michael Sullivan	1
Yu Pan	1
Yu Pan	1
Eric Zaslow	1
Justin A. Murray	1
Gao Honghao	1
Dmitry Fuchs	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Differential algebra of Legendrian links	2002	Yuri Chekanov	19
+	Chekanov–Eliashberg invariant of Legendrian knots: existence of augmentations	2003	Dmitry Fuchs	19
+	None	2005	Joshua Sabloff	15
+ PDF Chat	Computable Legendrian invariants	2003	Lenhard Ng	13
+ PDF Chat	Legendrian knots and exact Lagrangian cobordisms	2016	Tobias Ekholm Ko Honda Tamás Kálmán	11
+	Legendrian contact homology in 𝑃×ℝ	2007	Tobias Ekholm John Etnyre Michael Sullivan	11
+	The Thurston-Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: The Fuchs conjecture and beyond	2006	Drew Rutherford	10
+ PDF Chat	Legendrian solid-torus links	2004	Lenhard Ng	10
+ PDF Chat	Invariants of Legendrian Knots and Coherent Orientations	2001	John B. Etnyre Lenhard Ng Joshua M. Sabloff	10
+ PDF Chat	Generating families and augmentations for Legendrian surfaces	2018	Dan Rutherford Michael G. Sullivan	9
+ PDF Chat	Generating families and Legendrian contact homology in the standard contact space	2011	Dmitry Fuchs Dan Rutherford	9
+ PDF Chat	Introduction to Symplectic Field Theory	2000	Yakov Eliashberg A. Glvental Helmut Hofer	9
+	Invariants in contact topology	1998	Yakov Eliashberg	9
+ PDF Chat	ORIENTATIONS IN LEGENDRIAN CONTACT HOMOLOGY AND EXACT LAGRANGIAN IMMERSIONS	2005	Tobias Ekholm John B. Etnyre Michael Sullivan	9
+	Invariants of Legendrian Knots and Decompositions of Front Diagrams	2004	Dmitry Fuchs T. Ishkhanov	9
+	Connections between Floer-type invariants and Morse-type invariants of Legendrian knots	2011	Michael Henry	9
+ PDF Chat	The contact homology of Legendrian submanifolds in R2n+1	2005	Tobias Ekholm John B. Etnyre Michael G. Sullivan	8
+ PDF Chat	Ruling polynomials and augmentations over finite fields	2014	Michael Henry Dan Rutherford	8
+ PDF Chat	Augmentations are sheaves	2020	Lenhard Ng Dan Rutherford Vivek Shende Steven Sivek Eric Zaslow	8
+ PDF Chat	Connections between Floer-type invariants and Morse-type invariants of Legendrian knots	2011	Michael Henry	8
+ PDF Chat	Legendrian knots and constructible sheaves	2016	Vivek Shende David Treumann Eric Zaslow	8
+ PDF Chat	A bordered Chekanov-Eliashberg algebra	2011	Steven Sivek	7
+ PDF Chat	Cellular Legendrian contact homology for surfaces, part II	2019	Daniel Rutherford Michael G. Sullivan	7
+ PDF Chat	HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links	2011	Dan Rutherford	7
+ PDF Chat	Bilinearized Legendrian contact homology and the augmentation category	2014	Frédéric Bourgeois Baptiste Chantraine	7
+ PDF Chat	Morse flow trees and Legendrian contact homology in 1–jet spaces	2007	Tobias Ekholm	7
+	Constructible sheaves and the Fukaya category	2008	David Nadler Eric Zaslow	7
+ PDF Chat	Rational SFT, Linearized Legendrian Contact Homology, and Lagrangian Floer Cohomology	2011	Tobias Ekholm	6
+ PDF Chat	Effect of Legendrian surgery	2012	Frédéric Bourgeois Tobias Ekholm Yakov Eliashberg	6
+ PDF Chat	Knot contact homology	2013	Tobias Ekholm John B. Etnyre Lenhard Ng Michael G. Sullivan	6
+ PDF Chat	Legendrian circular helix links	1997	Lisa Traynor	6
+ PDF Chat	Isotopies of Legendrian 1-knots and Legendrian 2-tori	2008	Tobias Ekholm Tamás Kálmán	6
+ PDF Chat	Generating function polynomials for legendrian links	2001	Lisa Traynor	6
+ PDF Chat	The correspondence between augmentations and rulings for Legendrian knots	2006	Lenhard Ng Joshua Sabloff	6
+ PDF Chat	The framed Morse complex and its invariants	1994	Serguei Barannikov	6
+ PDF Chat	Rational symplectic field theory over $\mathbb{Z}_2$ for exact Lagrangian cobordisms	2008	Tobias Ekholm	5
+ PDF Chat	IDEMPOTENTS OF HECKE ALGEBRAS OF TYPE A	1998	A. K. Aiston H. R. Morton	5
+ PDF Chat	Lagrangian concordance is not a symmetric relation	2015	Baptiste Chantraine	5
+	Invariants of Legendrian and transverse knots in the standard contact space	1997	Dmitry Fuchs Serge Tabachnikov	5
+	Cellular Legendrian contact homology for surfaces, part III	2019	Daniel Rutherford Michael G. Sullivan	5
+ PDF Chat	Satellites of Legendrian knots and representations of the Chekanov–Eliashberg algebra	2013	Lenhard Ng Daniel Rutherford	5
+ PDF Chat	Lagrangian cobordisms via generating families: Construction and geography	2015	Frédéric Bourgeois Joshua M. Sabloff Lisa Traynor	5
+	Augmentations and Rulings of Legendrian Knots	2004	Joshua M. Sabloff	5
+ PDF Chat	A COMBINATORIAL DGA FOR LEGENDRIAN KNOTS FROM GENERATING FAMILIES	2012	Michael Henry Dan Rutherford	5
+ PDF Chat	Product structures for Legendrian contact homology	2010	Gokhan Civan Paul J. Koprowski John B. Etnyre Joshua M. Sabloff Alden Walker	5
+ PDF Chat	Equivalence classes of augmentations and Morse complex sequences of Legendrian knots	2015	Michael Henry Dan Rutherford	5
+ PDF Chat	Contact homology and one parameter families of Legendrian knots	2005	Tamás Kálmán	4
+	Augmentations and immersed Lagrangian fillings	2020	Yu Pan Dan Rutherford	4
+ PDF Chat	A Skein Approach to Bennequin-Type Inequalities	2008	Lenhard Ng	4
+	Pseudo-isotopies of compact manifolds	1973	Allen Hatcher J. B. Wagoner	4