A Generalization of the Gram determinant of type A
arXiv:1905.07834 · doi:10.1016/j.topol.2021.107663
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.
17 pages, 19 figures