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Vertex Algebroids II
Paul Bressler
In this note we determine the obstruction to triviality of the stack of exact vertex algebroids.
Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes
P. Bressler, V. A. Lunts
The Hard Lefschetz theorem for intersection cohomology of nonrational polytopes was recently proved by K. Karu [Ka]. This theorem implies the conjecture of R. Stanley on the unimod…
Vertex Algebroids I
Paul Bressler
We give a ``coordinate free'' construction and prove the uniqueness of the vertex algebroid which gives rise to the chiral de Rham complex.
Intersection cohomology on nonrational polytopes
Paul Bressler, Valery A. Lunts
Viewing a fan as a partially ordered set (of cones) we consider a category of sheaves on the fan which corresponds to a category of equivariant sheaves on the corresponding toric v…