Rational homotopy theory of operad modules through colored operads
Thomas Willwacher
TL;DR
This paper extends the rational homotopy theory of operads to include various modules over operads, broadening the theoretical framework for understanding operad modules in algebraic topology.
Contribution
It introduces a new extension of rational homotopy theory specifically tailored for modules over operads using colored operads, which was not previously developed.
Findings
Extended rational homotopy theory to operad modules
Developed a framework using colored operads
Broadened applicability of operad homotopy theory
Abstract
We extend the rational homotopy theory of operads developed by B. Fresse to several types of modules over operads.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models