M
Martin Markl
Researcher at Academy of Sciences of the Czech Republic
Publications - 119
Citations - 3837
Martin Markl is an academic researcher from Academy of Sciences of the Czech Republic. The author has contributed to research in topics: Homotopy & Cohomology. The author has an hindex of 27, co-authored 114 publications receiving 3513 citations. Previous affiliations of Martin Markl include Czech Technical University in Prague & Russian Academy of Sciences.
Papers
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Algebras with one operation including Poisson and other Lie-admissible algebras
Martin Markl,Elisabeth Remm +1 more
TL;DR: In this paper, the authors introduce a new kind of symmetry for operads, the dihedrality, responsible for the existence of dihedral cohomology, which can be used to represent an algebra with one operation without any specific symmetry as a one commutative and one anticommutative operation.
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Loop homotopy algebras in closed string field theory
TL;DR: In this paper, a tree-level Lie algebra is constructed on the Hilbert space of a combined conformal field theory of matter and ghosts, satisfying the "main identity" of the main identity.
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Wheeled PROPs, graph complexes and the master equation
TL;DR: The wheeled PROP as discussed by the authors is an extension of the theory of PROPs which can treat traces and, in particular, solutions to the master equations which involve divergence operators.
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Algebras with one operation including Poisson and other Lie-admissible algebras
Martin Markl,Elisabeth Remm +1 more
TL;DR: In this article, the authors introduce a new symmetry for algebras with one operation called dihedrality, responsible for the existence of dihedral cohomology, and analyze the Koszulness and cyclicity of the corresponding operads.
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Cotangent cohomology of a category and deformations
TL;DR: For a general k-linear equationally given category, a cohomology theory controlling deformations of objects of this category has been proposed in this paper, where the authors show that the theory can be used to control the deformation of objects in a given category.