Publications of Lenhard L. Ng
Papers Published
- Casals, R; Ng, L, Braid loops with infinite monodromy on the Legendrian contact DGA,
Journal of Topology, vol. 15 no. 4
(December, 2022),
pp. 1927-2016, WILEY
- Ng, L; Rutherford, D; Shende, V; Sivek, S; Zaslow, E, Augmentations are sheaves,
Geometry and Topology, vol. 24 no. 5
(January, 2020),
pp. 2149-2286, Mathematical Sciences Publishers
- Ekholm, T; Ng, L, Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials,
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, vol. 24 no. 8
(2020),
pp. 2067-2145
- Etnyre, JB; Ng, LL, Legendrian contact homology in $\mathbb{R}^3$,
Surveys in Differential Geometry, vol. 25 no. 1
(2020),
pp. 103-161, International Press of Boston
- Chantraine, B; Ng, L; Sivek, S, Representations, sheaves and Legendrian (2,m) torus links,
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, vol. 100 no. 1
(August, 2019),
pp. 41-82, WILEY
- Ekholm, T; Ng, L; Shende, V, A complete knot invariant from contact homology,
Inventiones Mathematicae, vol. 211 no. 3
(March, 2018),
pp. 1149-1200, Springer-Verlag
- Edgar, GA; Ullman, DH; West, DB; Bracken, P; Brown, EA; Franco, Z; Friesen, C; Lipták, L; Luttmann, R; Miles, FB; Ng, L; Smiley, L; Stolarsky, K; Stong, R; Stromquist, W; Velleman, D; Wagon, S; Wilmer, E; Zeitz, P; Zhang, F, Problems and solutions,
American Mathematical Monthly, vol. 125 no. 1
(January, 2018),
pp. 81-89
- Edgar, GA; Ullman, DH; West, DB; Bracken, P; Brown, EA; Franco, Z; Friesen, C; Lipták, L; Luttmann, R; Miles, FB; Ng, L; Smiley, L; Stolarsky, K; Stong, R; Stromquist, W; Velleman, D; Wagon, S; Wilmer, E; Zeitz, P; Zhang, F, Problems and solutions,
American Mathematical Monthly, vol. 124 no. 10
(December, 2017),
pp. 970-978
- Edgar, GA; Ullman, DH; West, DB; Bracken, P; Brown, EA; Franco, Z; Friesen, C; Lipták, L; Luttmann, R; Miles, FB; Ng, L; Smiley, L; Stolarsky, K; Stong, R; Stromquist, W; Velleman, D; Wilmer, E; Zeitz, P; Zhang, F, Problems and solutions,
American Mathematical Monthly, vol. 124 no. 8
(October, 2017),
pp. 754-762
- Edgar, GA; Ullman, DH; West, DB; Bracken, P; Brown, EA; Franco, Z; Friesen, C; Lipták, L; Luttmann, R; Miles, FB; Ng, L; Smiley, L; Stolarsky, K; Stong, R; Stromquist, W; Velleman, D; Zhang, F, Problems and solutions,
American Mathematical Monthly, vol. 124 no. 5
(May, 2017),
pp. 465-474
- Cieliebak, K; Ekholm, T; Latschev, J; Ng, L, Knot contact homology, string topology, and the cord algebra,
Journal de l'Ecole Polytechnique - Mathematiques, vol. 4
(January, 2017),
pp. 661-780, Cellule MathDoc/CEDRAM
- Ng, L; Rutherford, D; Shende, V; Sivek, S, The cardinality of the augmentation category of a Legendrian link,
MATHEMATICAL RESEARCH LETTERS, vol. 24 no. 6
(2017),
pp. 1845-1874, International Press
- Problems and Solutions,
The American Mathematical Monthly, vol. 124 no. 4
(2017),
pp. 369-369, Informa UK Limited
- Cornwell, C; Ng, L; Sivek, S, Obstructions to Lagrangian concordance,
Algebraic & Geometric Topology, vol. 16 no. 2
(April, 2016),
pp. 797-824, Mathematical Sciences Publishers
- Lipshitz, R; Ng, L; Sarkar, S, On transverse invariants from Khovanov homology,
Quantum Topology, vol. 6 no. 3
(September, 2015),
pp. 475-513, European Mathematical Publishing House, ISSN 1663-487X
- Ekholm, T; Ng, L, Legendrian contact homology in the boundary of a subcritical weinstein 4-Manifold,
Journal of Differential Geometry, vol. 101 no. 1
(September, 2015),
pp. 67-157, International Press of Boston, ISSN 0022-040X
- Ng, L, A topological introduction to knot contact homology,
in Contact and Symplectic Topology, edited by F. Bourgeois, V. Colin, and A. Stipsicz,
Bolyai Society Mathematical Studies, vol. 26
(January, 2014),
pp. 485-530, Springer International Publishing, ISSN 1217-4696, ISBN 978-3-319-02035-8
- Aganagic, M; Ekholm, T; Ng, L; Vafa, C, Topological strings, D-model, and knot contact homology,
Advances in Theoretical and Mathematical Physics, vol. 18 no. 4
(January, 2014),
pp. 827-956, International Press of Boston, ISSN 1095-0761
- Ng, L; Rutherford, D, Satellites of Legendrian knots and representations of the Chekanov-Eliashberg Algebra,
Algebraic and Geometric Topology, vol. 13 no. 5
(August, 2013),
pp. 3047-3097, Mathematical Sciences Publishers, ISSN 1472-2747
- Ekholm, T; Etnyre, JB; Ng, L; Sullivan, MG, Knot contact homology,
Geometry and Topology, vol. 17 no. 2
(May, 2013),
pp. 975-1112, Mathematical Sciences Publishers, ISSN 1465-3060
- Ekholm, T; Etnyre, J; Ng, L; Sullivan, M, Filtrations on the knot contact homology of transverse knots,
Mathematische Annalen, vol. 355 no. 4
(April, 2013),
pp. 1561-1591, Springer Nature, ISSN 0025-5831
- Ng, L, On arc index and maximal Thurston-Bennequin number,
Journal of Knot Theory and Its Ramifications, vol. 21 no. 4
(2012),
pp. 1250031-1250031, World Scientific Pub Co Pte Lt
- Ng, L, Combinatorial knot contact homology and transverse knots,
Advances in Mathematics, vol. 227 no. 6
(August, 2011),
pp. 2189-2219, Elsevier BV, ISSN 0001-8708
- Etnyre, J; Ng, L; Vertesi, V, Legendrian and transverse twist knots,
Journal of the European Mathematical Society, vol. 15 no. 3
(2011),
pp. 969-995, European Mathematical Publishing House
- Chongchitmate, W; Ng, L, An atlas of Legendrian knots,
Experimental Mathematics, vol. 22 no. 1
(2011),
pp. 26-37, Informa UK Limited
- Ng, L, Rational symplectic field theory for Legendrian knots,
Inventiones Mathematicae, vol. 182 no. 3
(December, 2010),
pp. 451-512, Springer Nature, ISSN 0020-9910
- Khandhawit, T; Ng, L, A family of transversely nonsimple knots,
Algebraic and Geometric Topology, vol. 10 no. 1
(July, 2010),
pp. 293-314, Mathematical Sciences Publishers, ISSN 1472-2747
- Ng, L; Thurston, D, Grid Diagrams, Braids, and Contact Geometry,
in Proceedings of Gökova Geometry-Topology Conference 2008,
Proceedings of Gokova Geometry-Topology Conference 2008, 120--136
(December, 2008),
pp. 120-136 (refereed proceedings.)
- Lenhard, NG, A skein approach to bennequin-type inequalities,
International Mathematics Research Notices, vol. 2008 no. 1
(December, 2008), Oxford University Press (OUP), ISSN 1073-7928 (Art. ID rnn116, 18 pp.)
- Ng, L, Framed knot contact homology,
Duke Mathematical Journal, vol. 141 no. 2
(February, 2008),
pp. 365-406, Duke University Press, ISSN 0012-7094
- Ng, L; Ozsvath, P; Thurston, D, Transverse knots distinguished by knot Floer homology,
Journal of Symplectic Geometry, vol. 6 no. 4
(2008),
pp. 461-490, International Press of Boston
- Ng, L, Conormal bundles, contact homology and knot invariants,
in The interaction of finite type and Gromov–Witten invariants at the Banff International Research Station (2003), Geometry & Topology Monographs,
Geometry and Topology Monographs, vol. 8
(April, 2006),
pp. 129-144, Mathematical Sciences Publishers
- NG, LL; Sabloff, JM, The correspondence between augmentations and rulings for legendrian knots,
Pacific Journal of Mathematics, vol. 224 no. 1
(March, 2006),
pp. 141-150, Mathematical Sciences Publishers, ISSN 0030-8730
- Muratori, MC; Stanley, JC; Ng, L; Ng, J; Gross, MUM; Tao, T; Tao, B, Insights from SMPY's greatest former child prodigies: Drs. Terence ("Terry") Tao and Lenhard ("Lenny") Ng reflect on their talent development,
Gifted Child Quarterly, vol. 50 no. 4
(January, 2006),
pp. 307-324, SAGE Publications, ISSN 0016-9862
- Lenhard, NG; Gadgil, S, Knot and braid invariants from contact homology II,
Geometry and Topology, vol. 9 no. 3
(August, 2005),
pp. 1603-1637, Mathematical Sciences Publishers
- Ng, L, Plane curves and contact geometry,
in Proceedings of 12th Gokova Geometry–Topology Conference,
Proceedings of G\~A{\P}kova Geometry-Topology Conference 2005
(2006), 165-174
(March, 2005),
pp. 162-171
- Ng, L, Knot and braid invariants from contact homology I,
Geometry and Topology, vol. 9 no. 1
(January, 2005),
pp. 247-297, Mathematical Sciences Publishers, ISSN 1465-3060
- Ng, L, A Legendrian Thurston–Bennequin bound from Khovanov homology,
Algebraic & Geometric Topology, vol. 5 no. 4
(2005),
pp. 1637-1653, Mathematical Sciences Publishers
- Ng, L; Traynor, L, Legendrian solid-torus links,
Journal of Symplectic Geometry, vol. 2 no. 3
(2005),
pp. 411-443
- Ng, LL, Computable Legendrian invariants,
Topology, vol. 42 no. 1
(January, 2003),
pp. 55-82, Elsevier BV
- J. Etnyre and L. Ng, Problems in low dimensional contact geometry,
in Topology and Geometry of Manifolds, Proc. Sympos. Pure Math., vol. 71
(2003),
pp. 337–357
- Ng, L; Etnyre, J; Sabloff, J, Invariants of Legendrian links and coherent orientations,
J. Symplectic Geom., vol. 1 no. 2
(2002),
pp. 321-367
- Ng, LL, The Legendrian satellite construction,
Appears as part of"Legendrian solid-torus links", J. Symplectic
Geom. 2 (2005), No. 3, 411-443
(December, 2001)
- Ng, L, Maximal Thurston–Bennequin number of two-bridge links,
Algebr. Geom. Topol., vol. 1 no. 1
(2001),
pp. 427-434, Mathematical Sciences Publishers
- Ng, LL, Legendrian mirrors and Legendrian isotopy
(August, 2000)
- Ng, LL, Hamiltonian Decomposition of Lexicographic Products of Digraphs,
Journal of Combinatorial Theory. Series B, vol. 73 no. 2
(July, 1998),
pp. 119-129, Elsevier BV
- Kedlaya, KS; Ng, LL, The rook on the half-chessboard, or how not to diagonalize a matrix,
American Mathematical Monthly, vol. 105 no. 9
(January, 1998),
pp. 819-824, Informa UK Limited
- Ng, LL, Hamiltonian decomposition of complete regular multipartite digraphs,
Discrete Mathematics, vol. 177 no. 1-3
(December, 1997),
pp. 279-285, Elsevier BV
- Ng, L; Schultz, M, k-Ordered Hamiltonian Graphs,
Journal of Graph Theory, vol. 24 no. 1
(January, 1997),
pp. 45-57, WILEY
Papers Accepted
- T. Ekholm and L. Ng, Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold,
Journal of Differential Geometry
(2013)
- R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology,
Quantum Topology
(2013/03/26)
Papers Submitted
- L. Ng, D. Rutherford, V. Shende, S. Sivek, and E. Zaslow, Augmentations are sheaves
(2015)
- L. Ng, D. Rutherford, V. Shende, and S. Sivek, The cardinality of the augmentation category of a Legendrian link
(2015)
- C. Cornwell, L. Ng, and S. Sivek, Obstructions to Lagrangian concordance
(2014)