Foam evaluation and Kronheimer--Mrowka theories
Mikhail Khovanov, Louis-Hadrien Robert
TL;DR
This paper develops combinatorial equivariant versions of Kronheimer--Mrowka homology for planar trivalent graphs, providing new tools for understanding graph invariants through topological and algebraic methods.
Contribution
It introduces and analyzes combinatorial equivariant analogues of Kronheimer--Mrowka homology specifically for planar trivalent graphs, expanding the theoretical framework.
Findings
New combinatorial equivariant homology theories introduced
Enhanced understanding of graph invariants through these theories
Potential applications in topological graph theory
Abstract
We introduce and study combinatorial equivariant analogues of the Kronheimer--Mrowka homology theory of planar trivalent graphs.
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