Equivariant matrix factorizations and hamiltonian reduction

TY - JOUR

T1 - Equivariant matrix factorizations and hamiltonian reduction

AU - Arkhipov, Sergey

AU - Kanstrup, Tina

PY - 2017

Y1 - 2017

N2 - Let X be a smooth scheme with an action of an algebraic group G. We establish an equivalence of two categories related to the corresponding moment map µ: T∗X → g∗ - the derived category of G-equivariant coherent sheaves on the derived fiber µ− 1(0) and the derived category of G-equivariant matrix factorizations on T∗X ×g with potential given by µ.

AB - Let X be a smooth scheme with an action of an algebraic group G. We establish an equivalence of two categories related to the corresponding moment map µ: T∗X → g∗ - the derived category of G-equivariant coherent sheaves on the derived fiber µ− 1(0) and the derived category of G-equivariant matrix factorizations on T∗X ×g with potential given by µ.

KW - DG-modules

KW - Equivariant sheaves

KW - Hamiltonian reduction

KW - Matrix factorizations

UR - https://www.scopus.com/pages/publications/85030326344

U2 - 10.4134/BKMS.b160758

DO - 10.4134/BKMS.b160758

M3 - Journal article

AN - SCOPUS:85030326344

SN - 1015-8634

VL - 54

SP - 1803

EP - 1825

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 5

ER -