Zobrazeno 1 - 10
of 1 423
pro vyhledávání: '"MORRISON, SCOTT"'
We find a single two-parameter skein relation on trivalent graphs, the quantum exceptional relation, that specializes to a skein relation associated to each exceptional Lie algebra (in the adjoint representation). If a slight strengthening of Deligne
Externí odkaz:
http://arxiv.org/abs/2402.03637
We construct analogs of Khovanov-Jacobsson classes and the Rasmussen invariant for links in the boundary of any smooth oriented 4-manifold. The main tools are skein lasagna modules based on equivariant and deformed versions of $\mathfrak{gl}_N$ link
Externí odkaz:
http://arxiv.org/abs/2401.06600
Kashaev and Reshetikhin previously described a way to define holonomy invariants of knots using quantum $\mathfrak{sl}_2$ at a root of unity. These are generalized quantum invariants depend both on a knot $K$ and a representation of the fundamental g
Externí odkaz:
http://arxiv.org/abs/2108.06561
Autor:
Buzzard, Kevin, Hughes, Chris, Lau, Kenny, Livingston, Amelia, Mir, Ramon Fernández, Morrison, Scott
We tell the story of how schemes were formalised in three different ways in the Lean theorem prover.
Comment: 10 pages. To appear in Experimental Mathematics
Comment: 10 pages. To appear in Experimental Mathematics
Externí odkaz:
http://arxiv.org/abs/2101.02602
Publikováno v:
In Biocybernetics and Biomedical Engineering January-March 2024 44(1):197-208
For a braided fusion category $\mathcal{V}$, a $\mathcal{V}$-fusion category is a fusion category $\mathcal{C}$ equipped with a braided monoidal functor $\mathcal{F}:\mathcal{V} \to Z(\mathcal{C})$. Given a fixed $\mathcal{V}$-fusion category $(\math
Externí odkaz:
http://arxiv.org/abs/1910.03178
Publikováno v:
Geom. Topol. 26 (2022) 3367-3420
We use Khovanov-Rozansky gl(N) link homology to define invariants of oriented smooth 4-manifolds, as skein modules constructed from certain 4-categories with well-behaved duals. The technical heart of this construction is a proof of the sweep-around
Externí odkaz:
http://arxiv.org/abs/1907.12194
We establish rank-finiteness for the class of $G$-crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braided fusion categories. This necessitates a study of slightly degenerate
Externí odkaz:
http://arxiv.org/abs/1902.06165