nLab Martin Markl

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Selected writings

On deformation theory in terms of $L_\infty$-algebras and their Maurer-Cartan equations:

• Martin Doubek, Martin Markl, Petr Zima, equation (31) in: Deformation Theory (lecture notes), Archivum mathematicum 43(5), 2007, 333-371 (arXiv:0705.3719)

• Martin Markl, Deformation theory of algebras and their diagrams, 129 pp, CBMS 116, AMS 2012 (ISBN:978-0-8218-8979-4, toc pdf)

On wheeled PROPs and graph complexes:

• Martin Markl, Sergei Merkulov, Sergey Shadrin, Wheeled PROPs, graph complexes and the master equation, Journal of Pure and Applied Algebra 213 (2009) [doi:10.1016/j.jpaa.2008.08.007, arXiv:math/0610683]

On monoidal enriched categories:

• Michael Batanin, Martin Markl, Section 2 of Centers and homotopy centers in enriched monoidal categories, Advances in Mathematics 230 4–6 (2012) 1811-1858 [doi:10.1016/j.aim.2012.04.011, arXiv:1109.4084]

On rational homotopy theory for non-connected spaces:

• Andrey Lazarev, Martin Markl: Disconnected rational homotopy theory, Advances in Mathematics 283 (2015) 303–361 [doi:10.1016/j.aim.2015.07.009, arXiv:1305.1037]

A 2-monadic characterization of abelian categories:

• Martin Markl, Dominik Trnka: Lax Distributivity and a Characterization of Abelian Categories [arXiv:2607.25740]

Related entries

• operad

• L-infinity algebra

• associahedron