Descent properties of the topological chiral homology
arXiv:1409.6944
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 -category of factorization algebras, and its twisted generalization.
28 pages. Proof of Theorem 2.27 repaired/reinforced. New references, notes and remarks added on other works. Was previously part of arXiv:1312.2562