Relations in the modulo 2 homology of framed disks algebras

Gérald Gaudens

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arXiv · 1307.3148

Relations in the modulo 2 homology of framed disks algebras

Gérald Gaudens

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Abstract

We study the homology structure of spaces having an action of the \emph{framed disks} operad. In particular, we compute the relations between Kudo-Araki operations and generalized Batalin-Vilkovisky operators. As an application, we complete the computations of the modulo 2 homology of $\Omega^2 S^3$ as a Batalin-Vilkovisky algebra, and give some evidence for a classical conjecture about the modulo 2 Hurewicz homomorphism of the infinite loop space of the sphere spectrum.

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Gérald Gaudens. 2013-07-11. Relations in the modulo 2 homology of framed disks algebras. https://arxiv.org/abs/1307.3148

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