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Foam evaluation and Kronheimer--Mrowka theories

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arxiv 1808.09662 v1 pith:3MTWIA2P submitted 2018-08-29 math.GT math.COmath.QA

Foam evaluation and Kronheimer--Mrowka theories

Mikhail Khovanov , Louis-Hadrien Robert This is my paper
classification math.GT math.COmath.QA
keywords kronheimer--mrowkaanaloguescombinatorialequivariantevaluationfoamgraphshomology
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We introduce and study combinatorial equivariant analogues of the Kronheimer--Mrowka homology theory of planar trivalent graphs.

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    Constructs doubly- and triply-graded Penrose-type homologies for ribbon graphs via TQFT cube of resolutions whose Euler characteristics recover Penrose polynomial specializations.