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10 papers · 1 filter
Vanishing Theorems for Real Algebraic Cycles
Jeremiah Heller, Mircea Voineagu
We establish the analogue of the Friedlander-Mazur conjecture for Teh's reduced Lawson homology groups of real varieties, which says that the reduced Lawson homology of a real quas…
Algebraic groups over the field with one element
Oliver Lorscheid
Remarks in a paper by Jacques Tits from 1956 led to a philosophy how a theory of split reductive groups over $\F_1$, the so-called field with one element, should look like. Namely,…
Torus fixed points of moduli spaces of stable bundles of rank three
Thorsten Weist
By a result of Klyachko the Euler characteristic of moduli spaces of stable bundles of rank two on the projective plane is determined. Using similar methods we extend this result t…
On the noncommutative Donaldson-Thomas invariants arising from brane tilings
Sergey Mozgovoy, Markus Reineke
Given a brane tiling, that is a bipartite graph on a torus, we can associate with it a quiver potential and a quiver potential algebra. Under certain consistency conditions on a br…
Quotient categories, stability conditions, and birational geometry
Sven Meinhardt, Holger Partsch
This article deals with the quotient category of the category of coherent sheaves on an irreducible smooth projective variety by the full subcategory of sheaves supported in codime…
Poincare polynomials of moduli spaces of stable bundles over curves
Sergey Mozgovoy
Given a curve over a finite field, we compute the number of stable bundles of not necessarily coprime rank and degree over it. We apply this result to compute the virtual Poincare…