Journal article
Frobenius algebras derived from the Kauffman bracket skein algebra
Journal of knot theory and its ramifications, Vol.25(4), p.1650016
04/01/2016
DOI: 10.1142/S0218216516500164
Abstract
The Kauffman bracket skein algebra of a compact oriented surface when the variable A in the Kauffman bracket is set equal to e(pi i/N), where N is an odd counting number, is a central extension of the ring of SL2C-characters of the fundamental group of the underlying surface. In this paper, we construct symmetric Frobenius algebras from the Kauffman bracket skein algebra of some simple surfaces by two strategies. The first is to localize the skein algebra at the characters so it becomes an algebra over the function field of the character variety of the surface, and the second is to specialize at a place of the character ring.
Details
- Title: Subtitle
- Frobenius algebras derived from the Kauffman bracket skein algebra
- Creators
- Charles Frohman - University of IowaNel Abdiel - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of knot theory and its ramifications, Vol.25(4), p.1650016
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- DOI
- 10.1142/S0218216516500164
- ISSN
- 0218-2165
- eISSN
- 1793-6527
- Number of pages
- 25
- Language
- English
- Date published
- 04/01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984241051302771
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