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4 papers · 1 filter
Modules over the small quantum group and semi-infinite flag manifold
S. Arkhipov, R. Bezrukavnikov, A. Braverman +2
We develop a theory of perverse sheaves on the semi-infinite flag manifold , and show that the subcategory of Iwahori-monodromy perverse sheaves is equiv…
Euclidean scissor congruence groups and mixed Tate motives over dual numbers
A. B. Goncharov
We define Euclidean scissor congruence groups for an arbitrary algebraically closed field F and propose their conjectural description. We suggest how they should be related to mixe…
Moduli spaces of local systems and higher Teichmuller theory
V. V. Fock, A. B. Goncharov
Let G be a split semisimple algebraic group with trivial center. Let S be a compact oriented surface, with or without boundary. We define {\it positive} representations of the fund…
Flops, flips and perverse point sheaves on threefold stacks
Dan Abramovich, Jiun C. Chen
We consider two cases of birational transformations of Q-Gorenstein threefolds: the case of a terminal flop and the case of a Francia flip. In the first case we show that, if one r…