Displaying similar documents to “The cohomology ring of free loop spaces.”

Homotopy Invariance of Transverse Homology Functors

Sara Dragotti, Gaetano Magro, Lucio Parlato (2007)

Bollettino dell'Unione Matematica Italiana

Similarity:

We construct, here, transverse homology functors, and we prove their invariance with respect to a suitable definition of homotopy.

Effective homology for homotopy colimit and cofibrant replacement

Marek Filakovský (2014)

Archivum Mathematicum

Similarity:

We extend the notion of simplicial set with effective homology presented in [22] to diagrams of simplicial sets. Further, for a given finite diagram of simplicial sets X : ℐ → sSet such that each simplicial set X ( i ) has effective homology, we present an algorithm computing the homotopy colimit hocolim X as a simplicial set with effective homology. We also give an algorithm computing the cofibrant replacement X cof of X as a diagram with effective homology. This is applied to computing of equivariant cohomology...

On the loop homology of complex projective spaces

David Chataur, Jean-François Le Borgne (2011)

Bulletin de la Société Mathématique de France

Similarity:

In this short note we compute the Chas-Sullivan BV-algebra structure on the singular homology of the free loop space of complex projective spaces. We compare this result with computations in Hochschild cohomology.

Problem session.

Carlsson, Gunnar (2001)

Homology, Homotopy and Applications

Similarity: