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We give new algorithms for computing basis cochains for real-valued homology, cohomology, and harmonic cochains on manifold simplicial complexes. We discuss only planar, surface, and solid meshes.
In this paper, we introduce the notions of logarithmic Poisson structure and logarithmic principal Poisson structure; we prove that the latter induces a representation by logarithmic derivation of t...
A good contact toric manifold M is determined by its moment cone C. We compute the equivariant cohomology ring with Z coefficient of M in terms of the combinatorial data of C. Then under a smoothness ...
e provide a unified and self-contained treatment of several of the recent uniqueness theorems for the group measure space decomposition of a II1 factor.
For a proper smooth variety of even dimension over a field of characteristic dif-ferent from 2 or ℓ, the second Stiefel-Whitney class of the ℓ-adic cohomology and the second Hasse-Witt cla...
Let k be a global field or a local field. Class field theory says that every central division algebra over k is cyclic. If k contains lth roots of unity, for a prime l not equal to the characteristic ...
Inspired by the recent paper [14] of Totaro, we investigate the relationship between ampleness of restrictions of line bundles to general complete intersections and the vanishing properties of higher...
A refined form of the ‘Folk Theorem’ that a smooth action by a compact Lie group can be (canonically) resolved, by iterated blow up, to have unique isotropy type was established in [1] in the context ...
We consider geometric and analytical aspects of M-theory on a manifold with boundary Y 11. The partition function of the C-field requires summing over harmonic forms. When Y 11 is closed Hodge theory...
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...
In this text we compute the rational cohomology ring of R2, the moduli space of Prym curves of genus 2, which is, as we also show, isomorphic to the rational Chow ring of this space. G. Bini and C.
Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of line...
In this paper we construct a graded Lie algebra on the space of cochains on a Z2-graded vector space V = V0 ⊕ V1 that are skew-symmetric on the subspace V1. The Lie bracket is obtained from the classi...
Cohomology and L-values     Cohomology  L-values       2011/2/24
In a paper published in 1959, Shimura presented an elegant calcu-lation of the critical values of L-functions attached to elliptic modular forms using the first cohomology group. We will show that a s...
The moduli space M1,n(B(Z/mZ)2) of twisted stable maps into the stack B(Z/mZ)2 carries a natural Sn-action and so its cohomology may be decomposed into irreducible Sn-representations.

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