1. A generalization of the Gram determinant of type A.
- Author
-
Bakshi, Rhea Palak, Ibarra, Dionne, Mukherjee, Sujoy, and Przytycki, Józef H.
- Subjects
- *
BILINEAR forms , *GENERALIZATION , *KNOT theory , *CATALAN numbers , *LOGICAL prediction - Abstract
The Gram determinant of type A was introduced by Lickorish in his work on invariants of 3 - manifolds. We generalize the theory of the Gram determinant of type A 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 Mb evaluated in the Klein bottle. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF