TY - JOUR
AB - The ⊗*-monoidal structure on the category of sheaves on the Ran space is not pro-nilpotent in the sense of [3]. However, under some connectivity assumptions, we prove that Koszul duality induces an equivalence of categories and that this equivalence behaves nicely with respect to Verdier duality on the Ran space and integrating along the Ran space, i.e. taking factorization homology. Based on ideas sketched in [4], we show that these results also offer a simpler alternative to one of the two main steps in the proof of the Atiyah-Bott formula given in [7] and [5].
AU - Ho, Quoc P
ID - 10033
JF - Advances in Mathematics
KW - Chiral algebras
KW - Chiral homology
KW - Factorization algebras
KW - Koszul duality
KW - Ran space
SN - 0001-8708
TI - The Atiyah-Bott formula and connectivity in chiral Koszul duality
VL - 392
ER -