Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Descent and the Koszul duality for locally constant factorization
  algebras   Generalizing Jacob Lurie's idea on the relation between the Verdier duality
and the iterated loop space theory, we study the Koszul duality for locally
constant factorization algebras. We formulate an analogue of Lurie's
"nonabelian Poincare duality" theorem (which is closely related to earlier
results of Graeme Segal, of Dusa McDuff, and of Paolo Salvatore) in a symmetric
monoidal stable infinity category carefully, using John Francis' notion of
excision. Its proof is done by first studying the Koszul duality for
E_n-algebras in detail. As a consequence, we obtain a Verdier type equivalence
for factorization algebras by a Koszul duality construction.
  At a foundational level, we study descent properties of 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.

16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
1
The categories of this paper are: cs