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Publications of Lenhard L. Ng    :recent first  alphabetical  combined  bibtex listing:

Papers Published

  1. Ng, L; Schultz, M, k-Ordered Hamiltonian Graphs, Journal of Graph Theory, vol. 24 no. 1 (January, 1997), pp. 45-57, WILEY [doi]  [abs]
  2. 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]
  3. 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]
  4. 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]
  5. Ng, LL, Legendrian mirrors and Legendrian isotopy (August, 2000)  [abs]
  6. 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]
  7. 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]
  8. 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]
  9. 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
  10. Ng, LL, Computable Legendrian invariants, Topology, vol. 42 no. 1 (January, 2003), pp. 55-82, Elsevier BV [math.GT/0011265], [doi]  [abs]
  11. 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]
  12. Ng, L; Traynor, L, Legendrian solid-torus links, Journal of Symplectic Geometry, vol. 2 no. 3 (2005), pp. 411-443 [math.SG/0407068]
  13. 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]
  14. 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]
  15. 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]
  16. 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]
  17. 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]
  18. 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]
  19. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  24. 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]
  25. 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]
  26. 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]
  27. 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]
  28. 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]
  29. 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]
  30. 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]
  31. 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]
  32. 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]
  33. 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]
  34. 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]
  35. 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]
  36. 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]
  37. 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]
  38. Problems and Solutions, The American Mathematical Monthly, vol. 124 no. 4 (2017), pp. 369-369, Informa UK Limited [doi]
  39. 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]
  40. 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]
  41. 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]
  42. 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]
  43. 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]
  44. 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]
  45. 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]
  46. 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 [doi]  [abs]
  47. 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]
  48. 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]
  49. 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]

Papers Accepted

  1. R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology, Quantum Topology (2013/03/26) [arXiv:1303.6371]
  2. 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]

Papers Submitted

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

 

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