Results 21 to 30 of about 19,905 (78)

A spectral sequence for the Hochschild cohomology of a coconnective dga

open access: yes, 2012
A spectral sequence for the computation of the Hochschild cohomology of a coconnective dga over a field is presented. This spectral sequence has a similar flavour to the spectral sequence constructed by Cohen, Jones and Yan for the computation of the ...
Shamir, Shoham
core   +1 more source

A Factor-Graph Approach to Algebraic Topology, With Applications to Kramers–Wannier Duality [PDF]

open access: yesIEEE Transactions on Information Theory, 2016
Algebraic topology studies topological spaces with the help of tools from abstract algebra. The main focus of this paper is to show that many concepts from algebraic topology can be conveniently expressed in terms of (normal) factor graphs.
Ali Al-Bashabsheh, P. Vontobel
semanticscholar   +1 more source

Foundations of algebraic surgery [PDF]

open access: yes, 2001
An elementary introduction to the principles of algebraic surgery.Comment: 19 pages. Notes of lecture given at the Summer School on High-dimensional Manifold Topology, ICTP Trieste, May-June 2001. To appear in Vol.
Ranicki, Andrew
core   +2 more sources

Stringy orbifolds

open access: yes, 2002
Recently, there is an explosive growth of activities to understand stringy properties of orbifolds. In this article, we survey some of recent developments.Comment: A survery article written for the Proceedings of Workshop on Mathematical Aspect of ...
Ruan, Yongbin
core   +2 more sources

Cohomology of the space of commuting n-tuples in a compact Lie group

open access: yes, 2007
Consider the space Hom(Z^n,G) of pairwise commuting n-tuples of elements in a compact Lie group G. This forms a real algebraic variety, which is generally singular.
Borel   +9 more
core   +2 more sources

Adding inverses to diagrams encoding algebraic structures [PDF]

open access: yes, 2013
We modify a previous result, which showed that certain diagrams of spaces are essentially simplicial monoids, to construct diagrams of spaces which model simplicial groups.
Bergner, Julia E.
core  

Homotopy colimits of model categories

open access: yes, 2014
Building on a previous definition of homotopy limit of model categories, we give a definition of homotopy colimit of model categories. Using the complete Segal space model for homotopy theories, we verify that this definition corresponds to the model ...
Bergner, Julia E.
core   +1 more source

Circle valued Morse theory and Novikov homology [PDF]

open access: yes, 2001
An introduction to circle valued Morse theory and Novikov homology, from an algebraic point of view.Comment: 26 pages. Notes of lecture given at the Summer School on High-dimensional Manifold Topology, ICTP Trieste, May-June 2001. To appear in Vol. 1
Ranicki, Andrew
core   +1 more source

Exotic heat PDE's [PDF]

open access: yes, 2010
Exotic heat equations that allow to prove the Poincar\'e conjecture, some related problems and suitable generalizations too are considered. The methodology used is the PDE's algebraic topology, introduced by A.
Prástaro, Agostino
core   +1 more source

Algebraic K-theory of strict ring spectra

open access: yes, 2014
We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated by its applications to the automorphism groups of compact manifolds.
Rognes, John
core  

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