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Real Homology Cohomology and Harmonic Cochains, Least Squares, and Diagonal Dominance
Real Homology Cohomology Harmonic Cochains Least Squares Diagonal Dominance
2011/3/2
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.
Homological algebra modulo exact zero-divisors
Exact zero divisors (co)homology complexity
2011/1/21
We study the homological behavior of modules over local rings modulo exact zero-divisors. We obtain new results which are in some sense “opposite” to those known for modules over local rings modulo re...
Logarithmic Poisson cohomology: example of calculation and application to prequantization
Logarithmic Poisson cohomology application prequantization
2011/2/24
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...
Cohomology rings of good contact toric manifolds
contact toric cohomology equivariant cohomology
2011/1/20
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 ...
Utility Optimal Scheduling in Energy Harvesting Networks
Utility Optimal Scheduling Energy Harvesting Networks
2011/1/19
In this paper, we show how to achieve close-tooptimal utility performance in energy harvesting networks with only finite capacity energy storage devices.
One-cohomology and the uniqueness of the group measure space decomposition of a II_1 factor
One-cohomology uniqueness group measure space decomposition
2011/2/25
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...
Degree three cohomology of function fields of surfaces
Degree three cohomology function fields of surfaces
2011/2/25
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 ...
Positivity on subvarieties and vanishing of higher cohomology
Positivity on subvarieties vanishing of higher cohomology
2011/1/18
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...
Delocalized equivariant cohomology and resolution
Delocalized equivariant cohomology resolution
2011/2/28
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...
Rational cohomology of \bar R_2 (and \bar S_2)
Rational cohomology \bar R_2 (and \bar S_2)
2011/2/25
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.
Quantum cohomology of the odd symplectic Grassmannian of lines
Quantum cohomology odd symplectic Grassmannian of lines
2011/2/23
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...