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Massey products for graph homology

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arxiv 1903.12055 v3 pith:DXTUTGTL submitted 2019-03-28 math.AT math.KTmath.QA

Massey products for graph homology

Benjamin C. Ward This is my paper
classification math.AT math.KTmath.QA
keywords graphhomologycharacterizecompositionconstructencodinghairyhigher
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This paper shows that the operad encoding modular operads is Koszul. Using this result we construct higher composition operations on (hairy) graph homology which characterize its rational homotopy type.

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  1. Obstruction sequences to homotopy equivalences

    math.AT 2025-09 conditional novelty 6.0

    Gauge-theoretic obstruction sequences characterize homotopy equivalences between algebras over properads and colored operads, with applications to minimal models over general fields and in etale cohomology.