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arXiv · 1409.6944

Descent properties of the topological chiral homology

Takuo Matsuoka
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Abstract

We study descent properties of Jacob Lurie's topological chiral homology. We prove that this homology theory satisfies descent for a factorizing cover, as defined by Kevin Costello and Owen Gwilliam. We also obtain a generalization of Lurie's approach to this homology theory, which leads to a product formula for the infinity $1$-category of factorization algebras, and its twisted generalization.

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Takuo Matsuoka. 2014-09-24. Descent properties of the topological chiral homology. https://arxiv.org/abs/1409.6944

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