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.
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Operads in algebra, topology, and physics
TL;DR: Operads are mathematical devices that describe algebraic structures of many varieties and in various categories as discussed by the authors, and are particularly important in categories with a good notion of homotopy, where they play a key role in organizing hierarchies of higher homotopies.
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Strongly homotopy Lie algebras
Tom Lada,Martin Markl +1 more
TL;DR: In this paper, Strongly homotopy lie algebras have been studied in the context of algebraic graph theory, and they are shown to be strongly homotopomorphic.
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Models for operads
TL;DR: In this paper, the authors studied properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps including a homology isomorphism.
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Homotopy algebras are homotopy algebras
TL;DR: In this paper, it was shown that strongly homotopy algebras are homotopically invariant in the category of chain complexes, i.e., they are transferable over chain homotope equivalences.
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Models for Operads
TL;DR: Kimura et al. as mentioned in this paper studied properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps inducing a homology isomorphism.