Zobrazeno 1 - 10
of 90
pro vyhledávání: '"DOUBEK, Martin"'
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:
Comm. Math. Phys. 367 (2019) 215-240
Quantum $L_\infty$ algebras are a generalization of $L_\infty$ algebras with a scalar product and with operations corresponding to higher genus graphs. We construct a minimal model of a given quantum $L_\infty$ algebra via the homological perturbatio
Externí odkaz:
http://arxiv.org/abs/1712.02696
Starting from a biased definition of a properad, we describe explicitly algebras over the cobar construction of a properad. Equivalent description in terms of solutions of generalized master equations, which can be interpreted as homological differen
Externí odkaz:
http://arxiv.org/abs/1708.01195
Autor:
Doubek, Martin, Markl, Martin
We prove that the modular operad of diffeomorphism classes of Riemann surfaces with both `open' and `closed' boundary components, in the sense of string field theory, is the modular completion of its genus 0 part quotiented by the Cardy condition. We
Externí odkaz:
http://arxiv.org/abs/1611.08759
Autor:
Doubek, Martin, Vacek, Václav
Publikováno v:
In Thermal Science and Engineering Progress 1 June 2021 23
Autor:
Doubek, Martin
of the Doctoral Thesis Operadic Resolutions of Diagrams by Martin Doubek We study resolutions of the operad AC describing diagrams of a given shape C in the category of algebras of a given type A. We prove the conjecture by Markl on constructing the
Externí odkaz:
http://www.nusl.cz/ntk/nusl-311620
Autor:
Doubek, Martin, Lada, Tom
We define a strong homotopy derivation of (cohomological) degree k of a strong homotopy algebra over an operad P. This involves resolving the operad obtained from P by adding a generator with "derivation relations". For a wide class of Koszul operads
Externí odkaz:
http://arxiv.org/abs/1409.1691
Autor:
Doubek, Martin
We give a direct combinatorial proof that the modular envelope of the cyclic operad Ass is the modular operad of (the homeomorphism classes of) 2D compact surfaces with boundary with marked points.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1312.5501