Zobrazeno 1 - 10
of 71 384
pro vyhledávání: '"Skein A."'
Autor:
Kitaeff, Edwin
Gilmer and Masbaum use Witten-Reshetikhin-Turaev (WRT) invariants to define a map from the Kauffman bracket skein module to a set of complex-valued functions defined on roots of unity in order to provide a lower bound for its dimension. We compute th
Externí odkaz:
http://arxiv.org/abs/2410.23153
Autor:
Müller, Lukas, Woike, Lukas
Given a finite ribbon category, which is a particular case of a cyclic algebra over the operad of genus zero surfaces, there are two possibilities for an extension defined on all three-dimensional handlebodies: On the one hand, one can use the admiss
Externí odkaz:
http://arxiv.org/abs/2409.17047
Autor:
Daemi, Aliakbar, Scaduto, Christopher
Equivariant singular instanton Floer theory is a framework that associates to a knot in an integer homology 3-sphere a suite of homological invariants that are derived from circle-equivariant Morse-Floer theory of a Chern-Simons functional for framed
Externí odkaz:
http://arxiv.org/abs/2409.16390
In this paper, we provide a presentation of the Kauffman bracket skein module for each small Seifert manifold. As one application, we demonstrate how to get the Kauffman bracket skein module of lens spaces from our main theorem.
Comment: 14 page
Comment: 14 page
Externí odkaz:
http://arxiv.org/abs/2409.09438
Autor:
Brothier, Arnaud, Seelig, Ryan
We study forest-skein (FS) groups using dynamics. A simple Ore FS category produces three FS groups analogous to Richard Thompson's groups. Reconstruction theorems of McCleary and Rubin apply to these FS groups: each of them encodes a canonical rigid
Externí odkaz:
http://arxiv.org/abs/2411.12569
Autor:
Scharitzer, Matthias
We show that the $q$-dilogarithm identities associated to the unidirectional $A_n$-quiver lift to the HOMFLYPT-skein algebra of a genus $n$ handlebody.
Comment: 19 pages, 9 figures. Comments are welcome!
Comment: 19 pages, 9 figures. Comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2410.17773
We investigate skein relations in cluster algebras from punctured surfaces, extending the work of \c{C}anak\c{c}i-Schiffler and Musiker-Williams on unpunctured surfaces. Using a combinatorial expansion formula by O{\u{g}}uz-Y{\i}ld{\i}r{\i}m and Pila
Externí odkaz:
http://arxiv.org/abs/2409.04957
Autor:
Molander, Melody
The Kuperberg Program asks to find presentations of planar algebras and use these presentations to prove results about their corresponding categories purely diagrammatically. This program has been completed for index less than 4 and is ongoing resear
Externí odkaz:
http://arxiv.org/abs/2410.05519
Autor:
Emma Orczy
The tangled skein arises from Mary's love for the Robert d'Esclade, fifth Duke of Wessex, said to be the people's choice as King Consort. Wessex is chivalrous and charming, but semi-betrothed to Lady Ursula Glynde, whom he has not seen since her infa
Autor:
Sally Goldenbaum
Summer is on the wane in the charming Massachusetts village of Sea Harbor, but there's plenty of excitement in store courtesy of a fashion show that's keeping the Seaside Knitters busy—along with a chilling killer with secrets to hide. Like every c