Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Samuelson, Peter"'
Autor:
Harper, Matthew, Samuelson, Peter
We define a monoidal category $\operatorname{\mathbf{W}}$ and a closely related 2-category $\operatorname{\mathbf{2Weyl}}$ using diagrammatic methods. We show that $\operatorname{\mathbf{2Weyl}}$ acts on the category $\mathbf{TL} :=\bigoplus_n \opera
Externí odkaz:
http://arxiv.org/abs/2401.02545
Autor:
Cooke, Juliet, Samuelson, Peter
We study the skein algebra of the genus 2 surface and its action on the skein module of the genus 2 handlebody. We compute this action explicitly, and we describe how the module decomposes over certain subalgebras in terms of polynomial representatio
Externí odkaz:
http://arxiv.org/abs/2008.12695
Autor:
Morton, Hugh, Samuelson, Peter
We give a skein-theoretic realization of the $\mathfrak{gl}_n$ double affine Hecke algebra of Cherednik using braids and tangles in the punctured torus. We use this to provide evidence of a relationship we conjecture between the classical skein algeb
Externí odkaz:
http://arxiv.org/abs/1909.11247
We give a presentation of the Kauffman (BMW) skein algebra of the torus, which is the "type BCD" analogue of the Homflypt skein algebra of torus which was computed by the first and third authors. In the appendix we show this presentation is compatibl
Externí odkaz:
http://arxiv.org/abs/1909.11208
In previous work of the first and third authors, we proposed a conjecture that the Kauffman bracket skein module of any knot in $S^3$ carries a natural action of the rank 1 double affine Hecke algebra $SH_{q,t_1, t_2}$ depending on 3 parameters $q, t
Externí odkaz:
http://arxiv.org/abs/1908.04415
Autor:
Cooper, Benjamin, Samuelson, Peter
We refine and prove the central conjecture of our first paper for annuli with at least two marked intervals on each boundary component by computing the derived Hall algebras of their Fukaya categories.
Comment: 33 pgs, 5 fig
Comment: 33 pgs, 5 fig
Externí odkaz:
http://arxiv.org/abs/1902.10576
Autor:
Cooper, Benjamin, Samuelson, Peter
Publikováno v:
J. Inst. Math. Jussieu 19 (2020) 971-1028
We study the derived Hall algebra of the partially wrapped Fukaya category of a surface. We give an explicit description of the Hall algebra for the disk with m marked intervals and we give a conjectural description of the Hall algebras of all surfac
Externí odkaz:
http://arxiv.org/abs/1708.00889
Autor:
Berest, Yuri, Samuelson, Peter
It is known that the fundamental group homomorphism $\pi_1(T^2) \to \pi_1(S^3\setminus K)$ induced by the inclusion of the boundary torus into the complement of a knot $K$ in $S^3$ is a complete knot invariant. Many classical invariants of knots aris
Externí odkaz:
http://arxiv.org/abs/1610.08947
Publikováno v:
Selecta Mathematica, 24(5), pp 4041-4103, 2018
We give an explicit description of the trace, or Hochschild homology, of the quantum Heisenberg category defined by Licata and Savage. We also show that as an algebra, it is isomorphic to "half" of a central extension of the elliptic Hall algebra of
Externí odkaz:
http://arxiv.org/abs/1609.03506
Den hårdnande konkurrensen emellan städer för att attrahera turister, nya invånare, investerare och företagsetableringar skapar ett klimat där destinationsmarknadsföring inte bara är nödvändigt utan kan bestämma platsers framtid. Destinati
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-2305