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Homotopy coherent nerve in Deformation theory

2007/04/19 by Vladimir Hinich, V. Hinich, Hinich, V.
Mathematics · Physics and Astronomy · #13D10 #18G30 #18G55 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.AG #math.QA #msc:13D10 #msc:18G30 #msc:18G55

paper · pdf · doi:10.48550/arxiv.0704.2503

Title fixed. Title changed (the old title was "Another simplicial nerve") Slightly revised

openalex publication_date 2007/04/19 · arxiv created 2015/07/02 · arxiv updated 2015/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we explain that homotopy coherent simplicial nerve has to used intead of the standard definition in the author's papers on formal deformation theory. A convenient version of the notion of fibered category is presented which is useful once one works with simplicial categories.

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