A Generalization of the Gram determinant of type A
Geometric Topology
2023-01-18 v1 Combinatorics
Abstract
The Gram determinant of type was introduced by Lickorish in his work on invariants of 3 - manifolds. We generalize the theory of the Gram determinant of type by evaluating, in the annulus, a bilinear form of non-intersecting connections in the disc. The main result provides a closed formula for this Gram determinant. We conclude the paper by discussing Chen's conjecture about the Gram determinant of type evaluated in the Klein bottle.
Keywords
Cite
@article{arxiv.1905.07834,
title = {A Generalization of the Gram determinant of type A},
author = {Rhea Palak Bakshi and Dionne Ibarra and Sujoy Mukherjee and Józef H. Przytycki},
journal= {arXiv preprint arXiv:1905.07834},
year = {2023}
}
Comments
17 pages, 19 figures