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COHOMOLOGY OF U(2,1) REPRESENTATION VARIETIES OF SURFACE GROUPS
U(2,1) REPRESENTATION VARIETIES SURFACE GROUPS
2015/12/17
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2...
The Ptolemy variety for SL(2; C) is an invariant of a topological ideal triangulation
of a compact 3-manifold M. It is closely related to Thurston’s gluing equation variety. The
Ptolemy variety maps...
We give a presentation for the cohomology algebra of the Spaltenstein variety of all partial flags annihilated by a fixed nilpotent matrix, generalizing the description of the cohomology algebra of th...
A Giambelli formula for the $S^1$-equivariant cohomology of type A Peterson varieties
Giambelli formula $S^1$-equivariant cohomology of type Peterson varieties
2011/2/22
The main result of this note is a Giambelli formula for the Peterson Schubert classes in the S1-equivariant cohomology ring of a type A Peterson variety. Our results depend on the Monk formula for the...
Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers
Motivic Milnor fibers complete intersection varieties their virtual Betti numbers
2010/11/26
We study the Jordan normal forms of the local and global monodromies over complete intersection subvarieties of Cn by using the theory of motivic Milnor fibers.The results will be explicitly described...
Non-trivial elements in the Abel-Jacobi kernels of higher dimensional varieties
algebraic cycles Chow motives Hodge filtration intermediate Jacobian
2010/12/1
The purpose of this paper is to construct new non-trivial elements in the kernels of the Abel-Jacobi maps from the Chow groups of codimension p algebraic cycles to the p-th intermediate Jacobians on h...