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Generalized blow-up of corners and fiber products
Generalized blow-up corners and fiber products Geometric Topology
2011/9/13
Abstract: Radial blow-up, including inhomogeneous versions, of boundary faces of a manifold (always with corners) is an important tool for resolving singularities, degeneracies and competing notions o...
n-Nilpotent Obstructions to pi_1 Sections of P^1-{0,1,infty} and Massey Products
Massey products Group/Galois cohomology Section conjecture Lower central series
2011/8/31
Abstract: Let pi be a pro-l completion of a free group, and let G be a profinite group acting continuously on pi. First suppose the action is given by a character. Then the boundary maps delta_n: H^1(...
Galois and universal universal coverings of linear categories and fibre products
fibre product section Galois covering universal covering
2011/2/21
Let k be a commutative ring. We study the behaviour of coverings of k-categories through fibre products and find a criterion for a covering to be Galois or universal.
Higher Whitehead products in toric topology
Higher Whitehead products in toric topology math
2010/11/15
In this paper we study the relationship between the moment-angle complex Z_k and the Davis-Januskiewicz space DJ(K) for a class of complexes K named missing-face complexes. If K has n vertices we con...
Tensor products of homotopy Gerstenhaber algebras
products homotopy Gerstenhaber algebras
2010/11/30
On the tensor product of two homotopy Gerstenhaber algebras we construct a Hirsch algebra structure which extends the canonical dg algebra structure. Our result applies more generally to tensor produc...
Cup products in Hopf cyclic cohomology with coefficients in contramodules
Hopf cyclic cohomology cup products contramodules
2010/12/13
We use stable anti Yetter-Drinfeld contramodules to improve the cup products in Hopf cyclic cohomology. The improvement fixes the lack of functoriality of the cup products previously defined and show ...