Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Pulmann, Ján"'
This paper develops an approach to categorical deformation quantization via factorization homology. We show that a quantization of the local coefficients for factorization homology is equivalent to consistent quantizations of its value on manifolds.
Externí odkaz:
http://arxiv.org/abs/2410.12516
Autor:
Perry, Nikolai, Pulmann, Ján
An involutive Lie bialgebra induces a Batalin-Vilkovisky operator on its exterior algebra. We introduce a graded generalization of the necklace Lie bialgebra, which depends on a choice of a quiver $Q$. We relate the resulting Batalin-Vilkovisky struc
Externí odkaz:
http://arxiv.org/abs/2406.15266
Quantum $L_\infty$ algebras are higher loop generalizations of cyclic $L_\infty$ algebras. Motivated by the problem of defining morphisms between such algebras, we construct a linear category of $(-1)$-shifted symplectic vector spaces and distributio
Externí odkaz:
http://arxiv.org/abs/2401.06110
Let $\Sigma$ be a compact oriented 2-manifold (possibly with boundary), and let $\mathcal G_{\Sigma}$ be the linear span of free homotopy classes of closed oriented curves on $\Sigma$ equipped with the Goldman Lie bracket $[\cdot, \cdot]_\mathrm{Gold
Externí odkaz:
http://arxiv.org/abs/2210.08944
Modular operads relevant to string theory can be equipped with an additional structure, coming from the connected sum of surfaces. Motivated by this example, we introduce a notion of connected sum for general modular operads. We show that a connected
Externí odkaz:
http://arxiv.org/abs/2210.06517
Publikováno v:
In Advances in Mathematics May 2024 443
Publikováno v:
J. High Energ. Phys. 2020, 96 (2020)
We find a Chern-Simons propagator on the ball with the chiral boundary condition. We use it to study perturbatively Chern-Simons boundary conditions related to 2-dim $\sigma$-models and to Poisson-Lie T-duality. In particular, we find their renormali
Externí odkaz:
http://arxiv.org/abs/2009.00509
We consider a TFT on the product of a manifold with an interval, together with a topological and a non-topological boundary condition imposed at the two respective ends. The resulting (in general higher gauge) field theory is non-topological, with di
Externí odkaz:
http://arxiv.org/abs/1909.06151
Autor:
Pulmann, Ján, Ševera, Pavol
We describe a method for quantization of Poisson Hopf algebras in $\mathbb Q$-linear symmetric monoidal categories. It is compatible with tensor products and can also be used to produce braided Hopf algebras. The main idea comes from the fact that ne
Externí odkaz:
http://arxiv.org/abs/1906.10616
Autor:
Pulmann, Ján
Loop homotopy Lie algebras, which appear in closed string field theory, are a generalization of homotopy Lie algebras. For a loop homotopy Lie algebra, we transfer its structure on its homology and prove that the transferred structure is again a loop
Externí odkaz:
http://www.nusl.cz/ntk/nusl-345285