Gram determinant of planar curves
| dc.creator | Przytycki, Jozef H. | |
| dc.creator | Zhu, Xiaoqi | |
| dc.date | 2008-10-25 | |
| dc.date.accessioned | 2026-07-07T13:04:05Z | |
| dc.date.available | 2026-07-07T13:04:05Z | |
| dc.description | We investigate the Gram determinant of the bilinear form based on curves in a planar surface, with a focus on the disk with two holes. We prove that the determinant based on $n-1$ curves divides the determinant based on $n$ curves. Motivated by the work on Gram determinants based on curves in a disk and curves in an annulus (Temperley-Lieb algebra of type $A$ and $B$, respectively), we calculate several examples of the Gram determinant based on curves in a disk with two holes and advance conjectures on the complete factorization of Gram determinants. | |
| dc.description | 20 pages, 13 figures | |
| dc.identifier | https://arxiv.org/abs/0810.4649 | |
| dc.identifier | http://arxiv.org/abs/0810.4649 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227035 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M, 05A | |
| dc.title | Gram determinant of planar curves | |
| dc.type | text |