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

Papers Published

  1. Ekholm, T; Ng, L; Shende, V, A complete knot invariant from contact homology, Inventiones Mathematicae, vol. 211 no. 3 (March, 2018), pp. 1149-1200 [doi]  [abs]
  2. 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 [doi]  [abs]
  3. 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
  4. 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, ISSN 0022-040X [doi]  [abs]
  5. Lipshitz, R; Ng, L; Sarkar, S, On transverse invariants from Khovanov homology, Quantum Topology, vol. 6 no. 3 (January, 2015), pp. 475-513, ISSN 1663-487X [doi]  [abs]
  6. 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 (2014), pp. 485-530, ISSN 1217-4696, ISBN 978-3-319-02035-8 [arXiv:1210.4803], [doi]
  7. 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 (2014), pp. 827-956, ISSN 1095-0761 [arXiv:1304.5778], [doi]  [abs]
  8. Ng, L; Rutherford, D, Satellites of Legendrian knots and representations of the Chekanov–Eliashberg algebra, Algebraic & Geometric Topology, vol. 13 no. 5 (2013), pp. 3047-3097, ISSN 1472-2747 [arXiv:1206.2259], [doi]  [abs]
  9. Ekholm, T; Etnyre, JB; Ng, L; Sullivan, MG, Knot contact homology, Geometry & Topology, vol. 17 no. 2 (2013), pp. 975-1112, ISSN 1465-3060 [arXiv:1109.1542], [doi]  [abs]
  10. Ekholm, T; Etnyre, J; Ng, L; Sullivan, M, Filtrations on the knot contact homology of transverse knots, Mathematische Annalen, vol. 355 no. 4 (2013), pp. 1561-1591, ISSN 0025-5831 [arXiv:1010.0450], [doi]  [abs]
  11. Chongchitmate, W; Ng, L, An Atlas of Legendrian Knots, Experimental Mathematics, vol. 22 no. 1 (2013), pp. 26-37 [arXiv:1010.3997], [doi]
  12. Etnyre, J; Ng, L; Vértesi, V, Legendrian and transverse twist knots, Journal of the European Mathematical Society, vol. 15 no. 3 (2013), pp. 969-995 [arXiv:1002.2400], [doi]
  13. Ekholm, T; Etnyre, J; Ng, L; Sullivan, M, Filtrations on the knot contact homology of transverse knots, Mathematische Annalen, vol. 355 no. 4 (2013), pp. 1561-1591 [doi]  [abs]
  14. Ng, L, On arc index and maximal Thurston-Bennequin number, Journal of Knot Theory and Its Ramifications, vol. 21 no. 4 (2012) [arXiv:math/0612356], [doi]
  15. Ng, L, Combinatorial knot contact homology and transverse knots, Advances in Mathematics, vol. 227 no. 6 (2011), pp. 2189-2219, ISSN 0001-8708 [arXiv:1010.0451], [doi]  [abs]
  16. Ng, L, Rational symplectic field theory for Legendrian knots, Inventiones Mathematicae, vol. 182 no. 3 (2010), pp. 451-512, ISSN 0020-9910 [arXiv:0806.4598], [doi]  [abs]
  17. Khandhawit, T; Ng, L, A family of transversely nonsimple knots, Algebraic & Geometric Topology, vol. 10 no. 1 (2010), pp. 293-314, ISSN 1472-2747 [arXiv:0806.1887], [doi]  [abs]
  18. L. Ng and D. Thurston, Grid diagrams, braids, and contact geometry, in Proceedings of Gökova Geometry-Topology Conference 2008 (2009), pp. 120-136 (refereed proceedings.) [arXiv:0812.3665]
  19. Ng, L, Framed knot contact homology, Duke Mathematical Journal, vol. 141 no. 2 (2008), pp. 365-406, ISSN 0012-7094 [math.GT/0407071], [doi]  [abs]
  20. Ng, L, A Skein Approach to Bennequin-Type Inequalities, International Mathematics Research Notices, vol. 2008 no. 1 (2008), ISSN 1073-7928 (Art. ID rnn116, 18 pp.) [0709.2141], [doi]  [abs]
  21. Ng, L; Ozsváth, P; Thurston, D, Transverse knots distinguished by knot Floer homology, Journal of Symplectic Geometry, vol. 6 no. 4 (2008), pp. 461-490 [math.GT/0703446], [doi]
  22. 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 (October, 2006), pp. 307-324, ISSN 0016-9862 [doi]  [abs]
  23. Ng, L; Sabloff, J, The correspondence between augmentations and rulings for Legendrian knots, Pacific Journal of Mathematics, vol. 224 no. 1 (March, 2006), pp. 141-150, ISSN 0030-8730 [math.SG/0503168], [doi]  [abs]
  24. L. Ng, 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, vol. 8 (2006), pp. 129-144 [math.GT/0412330], [doi]
  25. L. Ng, Plane curves and contact geometry, in Proceedings of 12th Gokova Geometry–Topology Conference (2006), pp. 162-171 [math.GT/0503162]
  26. Ng, L, A Legendrian Thurston–Bennequin bound from Khovanov homology, Algebraic & Geometric Topology, vol. 5 no. 4 (November, 2005), pp. 1637-1653 [math.GT/0508649], [doi]
  27. Ng, L, Knot and braid invariants from contact homology II, Geometry & Topology, vol. 9 no. 3 (2005), pp. 1603-1637 [math.GT/0303343], [doi]  [abs]
  28. Ng, L, Knot and braid invariants from contact homology I, Geometry & Topology, vol. 9 no. 1 (2005), pp. 247-297, ISSN 1465-3060 [math.GT/0302099], [doi]  [abs]
  29. Ng, L; Traynor, L, Legendrian solid-torus links, Journal of Symplectic Geometry, vol. 2 no. 3 (2005), pp. 411-443 [math.SG/0407068]
  30. Ng, LL, Computable Legendrian invariants, Topology, vol. 42 no. 1 (2003), pp. 55-82 [math.GT/0011265], [doi]  [abs]
  31. 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
  32. 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]
  33. Ng, L, Maximal Thurston–Bennequin number of two-bridge links, Algebraic & Geometric Topology, vol. 1 no. 1 (2001), pp. 427-434 [math.GT/0008242], [doi]
  34. Kedlaya, KS; Ng, LL, The Rook on the Half-Chessboard, or How Not to Diagonalize a Matrix, The American Mathematical Monthly, vol. 105 no. 9 (1998), pp. 819-819 [doi]
  35. Ng, LL, Hamiltonian Decomposition of Lexicographic Products of Digraphs, Journal of Combinatorial Theory, Series B, vol. 73 no. 2 (1998), pp. 119-129 [doi]  [abs]
  36. Ng, LL, Hamiltonian decomposition of complete regular multipartite digraphs, Discrete Mathematics, vol. 177 no. 1-3 (1997), pp. 279-285 [doi]  [abs]
  37. Ng, L; Schultz, M, k-ordered Hamiltonian graphs, Journal of Graph Theory, vol. 24 no. 1 (1997), pp. 45-57 [doi]  [abs]

Papers Accepted

  1. Cornwell, C; Ng, L; Sivek, S, Obstructions to Lagrangian concordance, Algebraic & Geometric Topology, vol. 16 no. 2 (April, 2016), pp. 797-824 [arXiv:1411.1364], [doi]
  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]
  3. 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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