Zobrazeno 1 - 10
of 392
pro vyhledávání: '"81T45"'
Autor:
Boateng, Luisa, Marcolli, Matilde
A construction that assigns a Boolean 1D TQFT with defects to a finite state automaton was recently developed by Gustafson, Im, Kaldawy, Khovanov, and Lihn. We show that the construction is functorial with respect to the category of finite state auto
Externí odkaz:
http://arxiv.org/abs/2412.09688
Autor:
Canepa, Giovanni, Schiavina, Michele
We extend the cohomological setting developed by Batalin, Fradkin and Vilkovisky to the case of a nested coisotropic embedding $C\hookrightarrow C_\circ \hookrightarrow F$ inside a symplectic manifold $F$. To this, we naturally assign the coisotropic
Externí odkaz:
http://arxiv.org/abs/2410.23184
Autor:
Möller, Sven, Rayhaun, Brandon C.
When can two strongly rational vertex operator algebras or 1+1d rational conformal field theories (RCFTs) be related by topological manipulations? For vertex operator algebras, the term "topological manipulations" refers to operations like passing to
Externí odkaz:
http://arxiv.org/abs/2410.18166
We introduce the condensed fiber product of two $G$-crossed braided fusion categories, generalizing existing constructions in the literature. We show that this product is closely related to the cohomological construction known as zesting. Furthermore
Externí odkaz:
http://arxiv.org/abs/2410.09025
Autor:
Esebre, Sunday, Gelca, Razvan
It is known that the colored Jones polynomials of a knot in the 3-dimensional sphere satisfy recursive relations, it is also known that these recursive relations come from recurrence polynomials which have been related, by the AJ conjecture, to the g
Externí odkaz:
http://arxiv.org/abs/2409.18960
The definition of an action functional for the Jacobi sigma models, known for Jacobi brackets of functions, is generalized to \emph{Jacobi bundles}, i.e., Lie brackets on sections of (possibly nontrivial) line bundles, with the particular case of con
Externí odkaz:
http://arxiv.org/abs/2409.14568
We construct three dimensional non-semisimple topological field theories from the unrolled quantum group of the Lie superalgebra $\mathfrak{osp}(1 \vert 2)$. More precisely, the quantum group depends on a root of unity $q=e^{\frac{2 \pi \sqrt{-1}}{r}
Externí odkaz:
http://arxiv.org/abs/2407.12181
Autor:
Stehouwer, Luuk
We establish the spin-statistics theorem for topological quantum field theories (TQFTs) in the framework of Atiyah. We incorporate spin via spin structures on bordisms, and represent statistics using super vector spaces. Unitarity is implemented usin
Externí odkaz:
http://arxiv.org/abs/2403.02282
Autor:
Park, Jeehoon, Park, Junyeong
We prove an arithmetic path integral formula for the inverse $p$-adic absolute values of the $p$-adic $L$-functions of elliptic curves over the rational numbers with good ordinary reduction at an odd prime $p$ based on the Iwasawa main conjecture and
Externí odkaz:
http://arxiv.org/abs/2312.05587
Autor:
Gagnon-Ririe, Levi, Young, Matthew B.
We construct a two dimensional unoriented open/closed topological field theory from a finite graded group $\pi:\hat{G} \twoheadrightarrow \{1,-1\}$, a $\pi$-twisted $2$-cocycle $\hat{\theta}$ on $B \hat{G}$ and a character $\lambda: \hat{G} \rightarr
Externí odkaz:
http://arxiv.org/abs/2310.03566