TY - JOUR
T1 - Compatibility of t-structures for quantum symplectic resolutions
AU - Mcgerty, Kevin
AU - Nevins, Thomas
N1 - Publisher Copyright:
© 2016.
PY - 2016/9/15
Y1 - 2016/9/15
N2 - Let W be a smooth complex variety with the action of a connected reductive group G. Adapting Teleman's stratification approach to a microlocal context, we prove a vanishing theorem for the functor of G-invariant sections-that is, of quantum Hamiltonian reduction-for G-equivariant twisted modules on W . As a consequence, when W is affine we establish a sufficient combinatorial condition for exactness of the global sections functors of microlocalization theory. When combined with the derived equivalence results of our recent work, this gives precise criteria for "microlocalization of representation categories" in the spirit of Kashiwara-Rouquier and many other authors.
AB - Let W be a smooth complex variety with the action of a connected reductive group G. Adapting Teleman's stratification approach to a microlocal context, we prove a vanishing theorem for the functor of G-invariant sections-that is, of quantum Hamiltonian reduction-for G-equivariant twisted modules on W . As a consequence, when W is affine we establish a sufficient combinatorial condition for exactness of the global sections functors of microlocalization theory. When combined with the derived equivalence results of our recent work, this gives precise criteria for "microlocalization of representation categories" in the spirit of Kashiwara-Rouquier and many other authors.
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U2 - 10.1215/00127094-3619684
DO - 10.1215/00127094-3619684
M3 - Article
AN - SCOPUS:84994452943
SN - 0012-7094
VL - 165
SP - 2529
EP - 2585
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 13
ER -