Wheel graph homology classes via Lie graph homology
Benjamin C. Ward
TL;DR
This paper presents a novel proof demonstrating the non-triviality of wheel graph homology classes by leveraging advanced operations in Lie graph homology and a derived form of Koszul duality for modular operads.
Contribution
It introduces a new proof technique connecting wheel graph homology classes with Lie graph homology through higher operations and derived Koszul duality.
Findings
Confirmed non-triviality of wheel graph homology classes
Established a new link between Lie graph and wheel graph homology
Applied derived Koszul duality in the context of modular operads
Abstract
We give a new proof of the non-triviality of wheel graph homology classes using higher operations on Lie graph homology and a derived version of Koszul duality for modular operads.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models