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Combinatorial knot contact homology and transverse knots

Publication ,  Journal Article
Ng, L
Published in: Advances in Mathematics
August 20, 2011

We give a combinatorial treatment of transverse homology, a new invariant of transverse knots that is an extension of knot contact homology. The theory comes in several flavors, including one that is an invariant of topological knots and produces a three-variable knot polynomial related to the A-polynomial. We provide a number of computations of transverse homology that demonstrate its effectiveness in distinguishing transverse knots, including knots that cannot be distinguished by the Heegaard Floer transverse invariants or other previous invariants. © 2011 Elsevier Inc.

Duke Scholars

Published In

Advances in Mathematics

DOI

EISSN

1090-2082

ISSN

0001-8708

Publication Date

August 20, 2011

Volume

227

Issue

6

Start / End Page

2189 / 2219

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Ng, L. (2011). Combinatorial knot contact homology and transverse knots. Advances in Mathematics, 227(6), 2189–2219. https://doi.org/10.1016/j.aim.2011.04.014
Ng, L. “Combinatorial knot contact homology and transverse knots.” Advances in Mathematics 227, no. 6 (August 20, 2011): 2189–2219. https://doi.org/10.1016/j.aim.2011.04.014.
Ng L. Combinatorial knot contact homology and transverse knots. Advances in Mathematics. 2011 Aug 20;227(6):2189–219.
Ng, L. “Combinatorial knot contact homology and transverse knots.” Advances in Mathematics, vol. 227, no. 6, Aug. 2011, pp. 2189–219. Scopus, doi:10.1016/j.aim.2011.04.014.
Ng L. Combinatorial knot contact homology and transverse knots. Advances in Mathematics. 2011 Aug 20;227(6):2189–2219.
Journal cover image

Published In

Advances in Mathematics

DOI

EISSN

1090-2082

ISSN

0001-8708

Publication Date

August 20, 2011

Volume

227

Issue

6

Start / End Page

2189 / 2219

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics