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Math @ Duke
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Papers Published
- W. Chongchitmate and L. Ng, An atlas of Legendrian knots,
Experimental Mathematics, vol. 22 no. 1
(2013),
pp. 26-37 [1010.3997], [doi]
- J. Etnyre, L. Ng, and V. Vertesi, Legendrian and transverse twist knots,
Journal of the European Mathematical Society, vol. 15 no. 3
(2013),
pp. 451-512 [1002.2400], [doi]
- T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan, Filtrations on the knot contact homology of transverse knots,
Mathematische Annalen, vol. 355 no. 4
(2013),
pp. 1561-1691 [1010.0450], [doi]
- T. Ekholm, J. Etnyre, L. Ng, and M. Sullivan, Knot contact homology,
Geometry & Topology, vol. 17
(2013),
pp. 975-1112 [1109.1542], [doi]
- L. Ng, On arc index and maximal Thurston-Bennequin number,
Journal of Knot Theory and Its Ramifications, vol. 21 no. 4
(2012) [math.GT/0612356], [doi]
- L. Ng, Combinatorial knot contact homology and transverse knots,
Advances in Mathematics, vol. 227 no. 6
(2011),
pp. 2189-2219 [1010.0451], [doi]
- T. Khandhawit and L. Ng, A family of transversely nonsimple knots,
Algebraic and Geometric Topology, vol. 10 no. 1
(2010),
pp. 293-314 [0806.1887], [doi]
- L. Ng, Rational Symplectic Field Theory for Legendrian knots,
Inventiones mathematicae, vol. 182 no. 3
(2010),
pp. 451-512 [0806.4598], [doi]
- 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.)
- L. Ng, Framed knot contact homology,
Duke Mathematical Journal, vol. 141 no. 2
(2008),
pp. 365-406 [math.GT/0407071], [doi]
- L. Ng, A skein approach to Bennequin type inequalities,
International Mathematics Research Notices, vol. 2008
(2008) (Art. ID rnn116, 18 pp.) [0709.2141], [doi]
- L. Ng, P. Ozsvath, and D. Thurston, Transverse knots distinguished by knot Floer homology,
Journal of Symplectic Geometry, vol. 6 no. 4
(2008),
pp. 461-490 [math.GT/0703446]
- 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]
- L. Ng & J. Sabloff, The correspondence between augmentations and rulings for Legendrian knots,
Pacific J. Math., vol. 224 no. 1
(2006),
pp. 141-150 [math.SG/0503168], [doi]
- L. Ng, Plane curves and contact geometry,
in Proceedings of 12th Gokova Geometry–Topology Conference
(2006),
pp. 162-171 [math.GT/0503162]
- L. Ng, A Legendrian Thurston–Bennequin bound from Khovanov homology,
Algebraic & Geometric Topology, vol. 5
(2005),
pp. 1637-1653 [math.GT/0508649], [doi]
- L. Ng & L. Traynor, Legendrian solid-torus links,
Journal of Symplectic Geometry, vol. 2 no. 3
(2005),
pp. 411-443 [math.SG/0407068]
- L. Ng, Knot and braid invariants from contact homology II,
Geom. Topol., vol. 9
(2005),
pp. 1603-1637 [math.GT/0303343], [doi]
- L. Ng, Knot and braid invariants from contact homology I,
Geom. Topol., vol. 9
(2005),
pp. 247-297 [math.GT/0302099], [doi]
- 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
- L. Ng, Computable Legendrian invariants,
Topology, vol. 42 no. 1
(2003),
pp. 55-82 [math.GT/0011265], [doi]
- J. Etnyre, L. Ng, and J. Sabloff, Invariants of Legendrian links and coherent orientations,
J. Symplectic Geom., vol. 1 no. 2
(2002),
pp. 321–367 [math.SG/0101145]
- L. Ng, Maximal Thurston–Bennequin number of two-bridge links,
Algebr. Geom. Topol., vol. 1
(2001),
pp. 427-434 [math.GT/0008242], [doi]
- K. Kedlaya and L. Ng, The rook on the half-chessboard, or how not to diagonalize a matrix,
Amer. Math. Monthly, vol. 105 no. 9
(1998),
pp. 819–824
- L. Ng, Hamiltonian decomposition of lexicographic products of digraphs,
J. Combin. Theory Ser. B 73 no. 2
(1998),
pp. 119–129 [doi]
- L. Ng, Hamiltonian decomposition of complete regular multipartite digraphs,
Discrete Math., vol. 177 no. 1-3
(1997),
pp. 279-285 [doi]
- L. Ng & M. Schultz, k-ordered hamiltonian graphs,
J. Graph Theory, vol. 24 no. 1
(1997),
pp. 45-57 [doi]
Papers Accepted
- L. Ng and D. Rutherford, Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra,
Algebraic & Geometric Topology
(2013) [1206.2259]
Papers Submitted
- R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology
(2013) [1303.6371]
- L. Ng, A topological introduction to knot contact homology
(2012) [1210.4803]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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