Zobrazeno 1 - 10
of 224
pro vyhledávání: '"Markl, Martin"'
Autor:
Markl, Martin
Kadeishvili's minimal model theorem establishes the existence of an $A_\infty$-structure, unique up to isomorphism, on the cohomology of a dg associative algebra, which captures its homotopy type. In this note we prove the existence of minimal models
Externí odkaz:
http://arxiv.org/abs/2404.19607
Autor:
Markl, Martin
We show that the functor which assigns to an Ainfty-morphism between isotopy classes of Ainfty-algebras whose linear part is a chain homotopy equivalence its underlying chain map is a discrete Grothendieck bifibration.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2403.17526
Autor:
Markl, Martin
We develop a self-dual, bivariant extension of the concept of an operadic category, its associated operads and their algebras. Our new theory covers, besides all classical subjects, also generalized traces and bivariant versions of Kapranov's charade
Externí odkaz:
http://arxiv.org/abs/2402.12963
Autor:
Batanin, Michael, Markl, Martin
Publikováno v:
Applied Categorical Structures, (6)32, 2024
We will show that the Morrison-Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local relations. As a by-product we develop the theory of unary operadic categor
Externí odkaz:
http://arxiv.org/abs/2212.14598