Lenhard Ng

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All published works

Action	Title	Year	Authors
+	Torsion in linearized contact homology for Legendrian knots	2023	Robert Lipshitz Lenhard Ng
+	An L-infinity structure for Legendrian contact homology	2023	Lenhard Ng
+ PDF Chat	Braid loops with infinite monodromy on the Legendrian contact DGA	2022	Roger Casals Lenhard Ng
+	Braid Loops with infinite monodromy on the Legendrian contact DGA	2021	Roger Casals Lenhard Ng
+ PDF Chat	Augmentations are sheaves	2020	Lenhard Ng Dan Rutherford Vivek Shende Steven Sivek Eric Zaslow
+ PDF Chat	Legendrian contact homology in $\mathbb{R}^3$	2020	John B. Etnyre Lenhard Ng
+ PDF Chat	Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials	2020	Tobias Ekholm Lenhard Ng
+ PDF	Representations, sheaves, and Legendrian $(2,m)$ torus links	2019	Baptiste Chantraine Lenhard Ng Steven Sivek
+ PDF Chat	Representations, sheaves and Legendrian (2,m) torus links	2018	Baptiste Chantraine Lenhard Ng Steven Sivek
+	Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials	2018	Tobias Ekholm Lenhard Ng
+	Legendrian contact homology in $\mathbb{R}^3$	2018	John B. Etnyre Lenhard Ng
+	Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials	2018	Tobias Ekholm Lenhard Ng
+ PDF Chat	A complete knot invariant from contact homology	2017	Tobias Ekholm Lenhard Ng Vivek Shende
+ PDF	Knot contact homology, string topology, and the cord algebra	2017	Kai Cieliebak Tobias Ekholm Janko Latschev Lenhard Ng
+ PDF Chat	The cardinality of the augmentation category of a Legendrian link	2017	Lenhard Ng Dan Rutherford Vivek Shende Steven Sivek
+ PDF	Obstructions to Lagrangian concordance	2016	Christopher Cornwell Lenhard Ng Steven Sivek
+	Knot contact homology, string topology, and the cord algebra	2016	Kai Cieliebak Tobias Ekholm Janko Latschev Lenhard Ng
+ PDF	Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold	2015	Tobias Ekholm Lenhard Ng
+ PDF	On transverse invariants from Khovanov homology	2015	Robert Lipshitz Lenhard Ng Sucharit Sarkar
+ PDF Chat	A Topological Introduction to Knot Contact Homology	2014	Lenhard Ng
+ PDF	Topological strings, D-model, and knot contact homology	2014	Cumrun Vafa Mina Aganagic Tobias Ekholm Lenhard Ng
+ PDF	Satellites of Legendrian knots and representations of the Chekanov–Eliashberg algebra	2013	Lenhard Ng Daniel Rutherford
+	Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold	2013	Tobias Ekholm Lenhard Ng
+ PDF	Knot contact homology	2013	Tobias Ekholm John B. Etnyre Lenhard Ng Michael G. Sullivan
+ PDF	Legendrian and transverse twist knots	2013	John B. Etnyre Lenhard Ng Vera Vértesi
+ PDF Chat	An Atlas of Legendrian Knots	2013	Wutichai Chongchitmate Lenhard Ng
+	Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold	2013	Tobias Ekholm Lenhard Ng
+ PDF Chat	Filtrations on the knot contact homology of transverse knots	2012	Tobias Ekholm John B. Etnyre Lenhard Ng Michael G. Sullivan
+ PDF Chat	ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER	2011	Lenhard Ng
+	Combinatorial knot contact homology and transverse knots	2011	Lenhard Ng
+ PDF Chat	Rational symplectic field theory for Legendrian knots	2010	Lenhard Ng
+ PDF	A family of transversely nonsimple knots	2010	Tirasan Khandhawit Lenhard Ng
+	Grid Diagrams, Braids, and Contact Geometry	2008	Lenhard Ng Dylan P. Thurston
+ PDF Chat	Framed knot contact homology	2008	Lenhard Ng
+ PDF Chat	A Skein Approach to Bennequin-Type Inequalities	2008	Lenhard Ng
+ PDF	Transverse knots distinguished by knot Floer homology	2008	Lenhard Ng Peter Ozsváth Dylan P. Thurston
+	Grid Diagrams, Braids, and Contact Geometry	2008	Lenhard Ng Dylan P. Thurston
+	Transverse Knots Distinguished by Knot Floer Homology	2007	Lenhard Ng Peter Ozsváth Dylan P. Thurston
+	A skein approach to Bennequin type inequalities	2007	Lenhard Ng
+	Transverse Knots Distinguished by Knot Floer Homology	2007	Lenhard Ng Peter Ozsváth Dylan P. Thurston
+	Insights From SMPY's Greatest Former Child Prodigies: Drs. Terence (“Terry”) Tao and Lenhard (“Lenny”) Ng Reflect on Their Talent Development	2006	Michelle Muratori Julian C. Stanley Lenhard Ng Jack Ng Miraca U. M. Gross Terence Tao Billy Tao
+ PDF Chat	Conormal bundles, contact homology and knot invariants	2006	Lenhard Ng
+ PDF	The correspondence between augmentations and rulings for Legendrian knots	2006	Lenhard Ng Joshua Sabloff
+ PDF	A Legendrian Thurston–Bennequin bound from Khovanov homology	2005	Lenhard Ng
+ PDF	Knot and braid invariants from contact homology II	2005	Lenhard Ng
+	The correspondence between augmentations and rulings for Legendrian knots	2005	Lenhard Ng Joshua M. Sabloff
+ PDF	Knot and braid invariants from contact homology I	2005	Lenhard Ng
+	Plane curves and contact geometry	2005	Lenhard Ng
+	The correspondence between augmentations and rulings for Legendrian knots	2005	Lenhard Ng Joshua M. Sabloff
+ PDF	Legendrian solid-torus links	2004	Lenhard Ng
+	Framed knot contact homology	2004	Lenhard Ng
+	Legendrian solid-torus links	2004	Lenhard Ng Lisa Traynor
+ PDF	Knot and braid invariants from contact homology II, with an appendix written jointly with Siddhartha Gadgil	2003	Lenhard Ng
+ PDF Chat	Computable Legendrian invariants	2003	Lenhard Ng
+	Problems in Low Dimensional Contact Topology	2002	John B. Etnyre Lenhard Ng
+ PDF	Maximal Thurston–Bennequin number of two-bridge links	2001	Lenhard Ng
+	The Legendrian satellite construction	2001	Lenhard Ng
+ PDF	Invariants of Legendrian Knots and Coherent Orientations	2001	John B. Etnyre Lenhard Ng Joshua M. Sabloff
+	Invariants of Legendrian Knots and Coherent Orientations	2001	John B. Etnyre Lenhard Ng Joshua M. Sabloff
+	Legendrian mirrors and Legendrian isotopy	2000	Lenhard Ng
+	Computable Legendrian invariants	2000	Lenhard Ng
+	The Rook on the Half-Chessboard, or How Not to Diagonalize a Matrix	1998	Kiran S. Kedlaya Lenhard Ng
+	The Rook on the Half-Chessboard, or How Not to Diagonalize a Matrix	1998	Kiran S. Kedlaya Lenhard Ng
+	Hamiltonian Decomposition of Lexicographic Products of Digraphs	1998	Lenhard Ng
+	Hamiltonian decomposition of complete regular multipartite digraphs	1997	Lenhard Ng
+	k -Ordered Hamiltonian graphs	1997	Lenhard Ng Michelle Schultz
+	k-ordered Hamiltonian graphs	1997	Lenhard Ng Michelle Schultz

Common Coauthors

Coauthor	Papers Together
Tobias Ekholm	12
Dylan P. Thurston	5
John B. Etnyre	5
Steven Sivek	5
Joshua M. Sabloff	4
Vivek Shende	3
John B. Etnyre	3
Peter Ozsváth	3
Dan Rutherford	2
Baptiste Chantraine	2
Roger Casals	2
Robert Lipshitz	2
Kiran S. Kedlaya	2
Janko Latschev	2
Kai Cieliebak	2
Michael G. Sullivan	2
Michelle Schultz	2
Cumrun Vafa	1
Michelle Muratori	1
Daniel Rutherford	1
Christopher Cornwell	1
Lisa Traynor	1
Eric Zaslow	1
Miraca U. M. Gross	1
Joshua Sabloff	1
Jack Ng	1
Wutichai Chongchitmate	1
Terence Tao	1
Tirasan Khandhawit	1
Billy Tao	1
Mina Aganagic	1
Sucharit Sarkar	1
Julian C. Stanley	1
Vera Vértesi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Differential algebra of Legendrian links	2002	Yuri Chekanov	28
+ PDF Chat	Computable Legendrian invariants	2003	Lenhard Ng	24
+	Invariants in contact topology	1998	Yakov Eliashberg	20
+ PDF	Invariants of Legendrian Knots and Coherent Orientations	2001	John B. Etnyre Lenhard Ng Joshua M. Sabloff	19
+ PDF Chat	Introduction to Symplectic Field Theory	2000	Yakov Eliashberg A. Glvental Helmut Hofer	17
+ PDF	ORIENTATIONS IN LEGENDRIAN CONTACT HOMOLOGY AND EXACT LAGRANGIAN IMMERSIONS	2005	Tobias Ekholm John B. Etnyre Michael Sullivan	13
+ PDF	Chekanov–Eliashberg invariants and transverse approximations of Legendrian knots	2001	Judith Epstein Dmitry Fuchs Maike Meyer	12
+ PDF	Legendrian solid-torus links	2004	Lenhard Ng	12
+	Invariants of Legendrian and transverse knots in the standard contact space	1997	Dmitry Fuchs Serge Tabachnikov	12
+	Chekanov–Eliashberg invariant of Legendrian knots: existence of augmentations	2003	Dmitry Fuchs	11
+ PDF	Legendrian and Transversal Knots	2005	John B. Etnyre	10
+	Combinatorial knot contact homology and transverse knots	2011	Lenhard Ng	10
+ PDF	Knot and braid invariants from contact homology I	2005	Lenhard Ng	9
+ PDF	Legendrian knots, transverse knots and combinatorial Floer homology	2008	Peter Ozsváth Zoltán Szabó Dylan P. Thurston	9
+	Knots and Contact Geometry	2000	John B. Etnyre Ko Honda	9
+ PDF Chat	Framed knot contact homology	2008	Lenhard Ng	9
+ PDF	Knot and braid invariants from contact homology II	2005	Lenhard Ng	9
+	Legendrian contact homology in 𝑃×ℝ	2007	Tobias Ekholm John B. Etnyre Michael C. Sullivan	9
+ PDF	Knot contact homology	2013	Tobias Ekholm John B. Etnyre Lenhard Ng Michael G. Sullivan	9
+	On Legendrian knots and polynomial invariants	2001	Emmanuel Ferrand	9
+ PDF	Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot	2001	John B. Etnyre Ko Honda	8
+ PDF	Transverse knots and Khovanov homology	2006	Olga Plamenevskaya	8
+	The Thurston-Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: The Fuchs conjecture and beyond	2006	Dan Rutherford	8
+	None	2005	Joshua Sabloff	8
+ PDF	Morse flow trees and Legendrian contact homology in 1–jet spaces	2007	Tobias Ekholm	8
+ PDF Chat	Filtrations on the knot contact homology of transverse knots	2012	Tobias Ekholm John B. Etnyre Lenhard Ng Michael G. Sullivan	8
+ PDF	The <b>N</b>-copy of a topologically trivial Legendrian knot	2001	K.N. Mishachev	8
+	A congruence between link polynomials	1990	Lee Rudolph	7
+ PDF	The contact homology of Legendrian submanifolds in R2n+1	2005	Tobias Ekholm John B. Etnyre Michael G. Sullivan	7
+ PDF	Knot and braid invariants from contact homology II, with an appendix written jointly with Siddhartha Gadgil	2003	Lenhard Ng	7
+ PDF	Satellites of Legendrian knots and representations of the Chekanov–Eliashberg algebra	2013	Lenhard Ng Daniel Rutherford	7
+ PDF	Transverse knots distinguished by knot Floer homology	2008	Lenhard Ng Peter Ozsváth Dylan P. Thurston	6
+	Seifert circles and knot polynomials	1986	H. R. Morton	6
+ PDF	Non-triviality of the<i>A</i>–polynomial for knots in<i>S</i><sup>3</sup>	2004	Nathan M. Dunfield Stavros Garoufalidis	6
+ PDF	Legendrian knots and exact Lagrangian cobordisms	2016	Tobias Ekholm Ko Honda Tamás Kálmán	6
+	Lagrangian Intersection Floer Theory: Anomaly and Obstruction	2009	賢治深谷 Yong‐Geun Oh Hiroshi Ohta Kaoru Ono	6
+	Classification of topologically trivial Legendrian knots	1998	Yakov Eliashberg Maia Fraser	6
+ PDF	Stabilization in the braid groups II: Transversal simplicity of knots	2006	Joan S. Birman William W. Menasco	6
+ PDF	A Legendrian Thurston–Bennequin bound from Khovanov homology	2005	Lenhard Ng	6
+ PDF Chat	Rational symplectic field theory for Legendrian knots	2010	Lenhard Ng	6
+ PDF	Bounds for the Thurston–Bennequin number from Floer homology	2004	Olga Plamenevskaya	6
+	Augmentations and Rulings of Legendrian Knots	2004	Joshua M. Sabloff	6
+ PDF	Braids and the Jones polynomial	1987	John Franks R. F. Williams	5
+	Markov theorem for transversal links	2001	S. Yu. Orevkov Vsevolod Shevchishin	5
+	Heegaard Floer invariants of Legendrian knots in contact three--manifolds	2008	Paolo Lisca Peter Ozsváth András I. Stipsicz Zoltán Szabó	5
+ PDF Chat	A categorification of the Jones polynomial	2000	Mikhail Khovanov	5
+ PDF Chat	A duality exact sequence for legendrian contact homology	2009	Tobias Ekholm John B. Etnyre Joshua M. Sabloff	5
+ PDF	Non-isotopic Legendrian submanifolds in R2n+1	2005	Tobias Ekholm John B. Etnyre Michael G. Sullivan	5
+ PDF	Effect of Legendrian surgery	2012	Frédéric Bourgeois Tobias Ekholm Yakov Eliashberg	5
+ PDF	A combinatorial description of knot Floer homology	2009	Ciprian Manolescu Peter Ozsváth Sucharit Sarkar	5