Published December 2020
| Accepted Version
Journal Article
Open
Large color R-matrix for knot complements and strange identities
- Creators
-
Park, Sunghyuk
Abstract
The Gukov–Manolescu series, denoted by F_K, is a conjectural invariant of knot complements that, in a sense, analytically continues the colored Jones polynomials. In this paper we use the large color R-matrix to study F_K for some simple links. Specifically, we give a definition of F_K for positive braid knots, and compute F_K for various knots and links. As a corollary, we present a class of "strange identities" for positive braid knots.
Additional Information
© 2020 World Scientific Publishing Co. Received 8 September 2020; Accepted 22 December 2020; Published: 20 January 2021. I would like to thank Sergei Gukov and Ciprian Manolescu for insightful discussions, as well as Piotr Kucharski, Robert Osburn, and Nikita Sopenko for useful conversations. The author was supported by Kwanjeong Educational Foundation.Attached Files
Accepted Version - 2004.02087.pdf
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2004.02087.pdf
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Additional details
- Eprint ID
- 108328
- Resolver ID
- CaltechAUTHORS:20210305-103643058
- Kwanjeong Educational Foundation
- Created
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2021-03-08Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field