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A Duality Between Non-Archimedean Uniform Spaces and Subdirect Powers of Full Clones
Uniform Space Duality Hyperspace Variety
2012/7/11
A uniform space is said to be non-Archimedean if it is generated by equivalence relations. If $\lambda$ is a cardinal, then a non-Archimedean uniform space $(X,\mathcal{U})$ is $\lambda$-totally bound...
Poincare duality and degrees of twisted Alexander polynomials
twisted Alexander polynomial Reidemeister torsion duality
2011/9/9
Abstract: We prove duality theorems for twisted Reidemeister torsions and twisted Alexander polynomials generalizing the results of Turaev. As a corollary we determine the parity of the degrees of twi...
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...
Using homological duality in consecutive pattern avoidance
pattern avoidance exponential generating function linear differential equations
2010/12/14
Using the approach suggested in [2] we present below a sufficient condition guaranteeing
that two collections of patterns of permutations have the same exponential generating functions for the number...
Bar-cobar duality for operads in stable homotopy theory
Bar-cobar duality stable homotopy theory
2010/12/13
We extend bar-cobar duality, defined for operads of chain complexes by Getzler and Jones, to operads of spectra in the sense of stable homotopy theory. Our main result is the existence
of a Quillen e...