Operadic semi-infinite homology
Shintarou Yanagida
TL;DR
This paper introduces a new framework for semi-infinite homology tailored for operadic algebras, expanding the tools available for studying their homological properties.
Contribution
It develops a novel approach to semi-infinite homology specifically for operadic algebras using relative homology theory.
Findings
Defines semi-infinite homology for operadic algebras
Establishes a relative homology framework for operads
Provides foundational results for future research
Abstract
We propose the notion of semi-infinite homology for algebras over operads using the relative homology theory for operadic algebras.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models