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Higher genus knot c...
Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials
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- Ekholm, Tobias, 1970- (författare)
- Uppsala universitet,Algebra och geometri,Inst Mittag Leffler, Aurav 17, S-18260 Djursholm, Sweden.
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- Ng, Lenhard (författare)
- Duke Univ, Math Dept, Durham, NC 27708 USA.
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(creator_code:org_t)
- INT PRESS BOSTON, INC, 2020
- 2020
- Engelska.
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Ingår i: Advances in Theoretical and Mathematical Physics. - : INT PRESS BOSTON, INC. - 1095-0761 .- 1095-0753. ; 24:8, s. 2067-2145
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.4...
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Abstract
Ämnesord
Stäng
- We sketch a construction of Legendrian Symplectic Field Theory (SFT) for conormal tori of knots and links. Using large N duality and Witten's connection between open Gromov-Witten invariants and Chern-Simons gauge theory, we relate the SFT of a link conormal to the colored HOMFLY-PT polynomials of the link. We present an argument that the HOMFLY-PT wave function is determined from SFT by induction on Euler characteristic, and also show how to, more directly, extract its recursion relation by elimination theory applied to finitely many noncommutative equations. The latter can be viewed as the higher genus counterpart of the relation between the augmentation variety and Gromov-Witten disk potentials established in [1] by Aganagic, Vafa, and the authors, and, from this perspective, our results can be seen as an SFT approach to quantizing the augmentation variety.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
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