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Publications of Lenhard L. Ng    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. 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 [doi]  [abs]
  2. 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 [doi]  [abs]
  3. 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 (January, 2020), pp. 2067-2145 [doi]  [abs]
  4. 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 [doi]
  5. 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 [doi]  [abs]
  6. 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 [doi]  [abs]
  7. 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 [doi]
  8. 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 [doi]
  9. 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 [doi]
  10. 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 [doi]
  11. 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 [doi]  [abs]
  12. 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 [doi]  [abs]
  13. Problems and Solutions, The American Mathematical Monthly, vol. 124 no. 4 (2017), pp. 369-369, Informa UK Limited [doi]
  14. 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 [arXiv:1411.1364], [doi]
  15. 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 [doi]  [abs]
  16. 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 [doi]  [abs]
  17. 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 [arXiv:1210.4803], [doi]
  18. 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 [arXiv:1304.5778], [doi]  [abs]
  19. 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 [arXiv:1206.2259], [doi]  [abs]
  20. 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 [arXiv:1109.1542], [doi]  [abs]
  21. 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 [arXiv:1010.0450], [doi]  [abs]
  22. 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 [arXiv:math/0612356], [doi]
  23. 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 [arXiv:1010.0451], [doi]  [abs]
  24. 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 [arXiv:1002.2400], [doi]  [abs]
  25. Chongchitmate, W; Ng, L, An atlas of Legendrian knots, Experimental Mathematics, vol. 22 no. 1 (2011), pp. 26-37, Informa UK Limited [arXiv:1010.3997], [doi]  [abs]
  26. 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 [arXiv:0806.4598], [doi]  [abs]
  27. 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 [arXiv:0806.1887], [doi]  [abs]
  28. 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.) [arXiv:0812.3665]  [abs]
  29. 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.) [0709.2141], [doi]  [abs]
  30. Ng, L, Framed knot contact homology, Duke Mathematical Journal, vol. 141 no. 2 (February, 2008), pp. 365-406, Duke University Press, ISSN 0012-7094 [math.GT/0407071], [doi]  [abs]
  31. 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 [math.GT/0703446], [doi]
  32. 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 [math.GT/0412330], [doi]
  33. 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 [math.SG/0503168], [doi]  [abs]
  34. 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 [doi]  [abs]
  35. 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 [math.GT/0303343], [doi]  [abs]
  36. 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 [math.GT/0503162]  [abs]
  37. 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 [math.GT/0302099], [doi]  [abs]
  38. Ng, L, A Legendrian Thurston–Bennequin bound from Khovanov homology, Algebraic & Geometric Topology, vol. 5 no. 4 (2005), pp. 1637-1653, Mathematical Sciences Publishers [math.GT/0508649], [doi]
  39. Ng, L; Traynor, L, Legendrian solid-torus links, Journal of Symplectic Geometry, vol. 2 no. 3 (2005), pp. 411-443 [math.SG/0407068]
  40. Ng, LL, Computable Legendrian invariants, Topology, vol. 42 no. 1 (January, 2003), pp. 55-82, Elsevier BV [math.GT/0011265], [doi]  [abs]
  41. 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
  42. Ng, L; Etnyre, J; Sabloff, J, Invariants of Legendrian links and coherent orientations, J. Symplectic Geom., vol. 1 no. 2 (2002), pp. 321-367 [math.SG/0101145]
  43. 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)  [abs]
  44. Ng, L, Maximal Thurston–Bennequin number of two-bridge links, Algebr. Geom. Topol., vol. 1 no. 1 (2001), pp. 427-434, Mathematical Sciences Publishers [math.GT/0008242], [doi]
  45. Ng, LL, Legendrian mirrors and Legendrian isotopy (August, 2000)  [abs]
  46. 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 [doi]  [abs]
  47. 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 [doi]
  48. Ng, LL, Hamiltonian decomposition of complete regular multipartite digraphs, Discrete Mathematics, vol. 177 no. 1-3 (December, 1997), pp. 279-285, Elsevier BV [doi]  [abs]
  49. Ng, L; Schultz, M, k-Ordered Hamiltonian Graphs, Journal of Graph Theory, vol. 24 no. 1 (January, 1997), pp. 45-57, WILEY [doi]  [abs]

Papers Accepted

  1. T. Ekholm and L. Ng, Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold, Journal of Differential Geometry (2013) [arXiv:1307.8436]
  2. R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology, Quantum Topology (2013/03/26) [arXiv:1303.6371]

Papers Submitted

  1. L. Ng, D. Rutherford, V. Shende, S. Sivek, and E. Zaslow, Augmentations are sheaves (2015) [arXiv:1502.04939]
  2. L. Ng, D. Rutherford, V. Shende, and S. Sivek, The cardinality of the augmentation category of a Legendrian link (2015) [arXiv:1511.06724]
  3. C. Cornwell, L. Ng, and S. Sivek, Obstructions to Lagrangian concordance (2014) [arXiv:1411.1364]

 

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