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Organizers |
Gram Determinants Motivated by Knot Theory
by
Rhea Palak Bakshi
The George Washington University
Coauthors: Dionne Ibarra, Sujoy Mukherjee and Józef H. Przytycki
Linking matrices, Seifert matrices and Goeritz matrices are early examples of the use of Gram type determinants in knot theory. In this talk, I will first discuss the Gram determinant of type A which was used by Lickorish to construct the Witten Reshetikhin Turaev invariants of 3 - manifolds combinatorially. I will then discuss the Gram determinant of type B, whose closed formula was given by Chen and Przytycki, which answered the question first posed by the late combinatorialist Rodica Simion. Finally, I will describe our work on the generalized Gram determinant of type A and the Gram determinant of type Mb.
Date received: May 3, 2019
Copyright © 2019 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpy-09.