Zobrazeno 1 - 10
of 36 206
pro vyhledávání: '"Mathematics - Quantum Algebra"'
Autor:
Holstein, Julian, Rivera, Manuel
We show that Koszul duality between differential graded categories and pointed curved coalgebras interchanges smooth and proper (also known as left and right) Calabi-Yau structures. We discuss the following two applications. For a finite-dimensional
Externí odkaz:
http://arxiv.org/abs/2410.03604
Autor:
Bulacu, Daniel, Misurati, Matteo
We complete the classification of the 6-dimensional quasi-Hopf algebras, by proving that any such algebra is semisimple. As byproducts, we provide examples of 6-dimensional quasi-bialgebras that are not semisimple as algebras, as well as the concrete
Externí odkaz:
http://arxiv.org/abs/2410.03476
We introduce the notion of quasi-triangular Leibniz bialgebras, which can be constructed from solutions of the classical Leibniz Yang-Baxter equation (CLYBE) whose skew-symmetric parts are invariant. In addition to triangular Leibniz bialgebras, quas
Externí odkaz:
http://arxiv.org/abs/2410.03089
Autor:
Turner, Joshua P.
We compute the triply graded Khovanov-Rozansky homology for Coxeter braids on 4 strands.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2410.03068
Autor:
Lackman, Joshua
We axiomatize path integral quantization of symplectic manifolds. We prove that this path integral formulation of quantization is equivalent to an abstract operator formulation, ie. abstract coherent state (or Berezin) quantization. We use the corres
Externí odkaz:
http://arxiv.org/abs/2410.02739
Autor:
Moriwaki, Yuto
In this paper, we construct an action of the fundamental groupoid of the Swiss-cheese operad (the parenthesized permutation and braid operad) on $C_1$-cofinite module categories of a vertex operator algebra. Based on this result, we show that when a
Externí odkaz:
http://arxiv.org/abs/2410.02648
In an earlier publication, the last two authors showed that a finite-dimensional module for a quantum affine algebra of type $A$ whose $q$-factorization graph is totally ordered is prime. In this paper, we continue the investigation of the role of to
Externí odkaz:
http://arxiv.org/abs/2410.01519
Autor:
Lee, Heon
We introduce a construction in which a linear operator on a compact quantum group, which is supposed to become Laplacian, induces a bicovariant first order differential calculus equipped with a nondegenerate sesquilinear form with respect to which th
Externí odkaz:
http://arxiv.org/abs/2410.00720
Autor:
Kumar, Amit
We show that the combinatorial matter of graph coloring is, in fact, quantum in the sense of satisfying the sum over all the possible intermediate state properties of a path integral. In our case, the topological field theory (TFT) with defects gives
Externí odkaz:
http://arxiv.org/abs/2410.00378
Autor:
Cai, Merrick, Vashaw, Kent B.
Given a support variety theory defined on the compact part of a monoidal triangulated category, we define an extension to the non-compact part following the blueprint of Benson--Carlson--Rickard, Benson--Iyengar--Krause, Balmer--Favi, and Stevenson.
Externí odkaz:
http://arxiv.org/abs/2410.00853