Descent properties of the topological chiral homology
Matsuoka, Takuo
Original · EN
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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