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Rational symplectic field theory for Legendrian knots

Publication ,  Journal Article
Ng, L
Published in: Inventiones Mathematicae
December 1, 2010

We construct a combinatorial invariant of Legendrian knots in standard contact three-space. This invariant, which encodes rational relative Symplectic Field Theory and extends contact homology, counts holomorphic disks with an arbitrary number of positive punctures. The construction uses ideas from string topology. © 2010 Springer-Verlag.

Duke Scholars

Published In

Inventiones Mathematicae

DOI

ISSN

0020-9910

Publication Date

December 1, 2010

Volume

182

Issue

3

Start / End Page

451 / 512

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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ICMJE
MLA
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Ng, L. (2010). Rational symplectic field theory for Legendrian knots. Inventiones Mathematicae, 182(3), 451–512. https://doi.org/10.1007/s00222-010-0265-8
Ng, L. “Rational symplectic field theory for Legendrian knots.” Inventiones Mathematicae 182, no. 3 (December 1, 2010): 451–512. https://doi.org/10.1007/s00222-010-0265-8.
Ng L. Rational symplectic field theory for Legendrian knots. Inventiones Mathematicae. 2010 Dec 1;182(3):451–512.
Ng, L. “Rational symplectic field theory for Legendrian knots.” Inventiones Mathematicae, vol. 182, no. 3, Dec. 2010, pp. 451–512. Scopus, doi:10.1007/s00222-010-0265-8.
Ng L. Rational symplectic field theory for Legendrian knots. Inventiones Mathematicae. 2010 Dec 1;182(3):451–512.
Journal cover image

Published In

Inventiones Mathematicae

DOI

ISSN

0020-9910

Publication Date

December 1, 2010

Volume

182

Issue

3

Start / End Page

451 / 512

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics