On the loop homology of complex projective spaces

David Chataur; Jean-François Le Borgne

Bulletin de la Société Mathématique de France (2011)

  • Volume: 139, Issue: 4, page 503-518
  • ISSN: 0037-9484

Abstract

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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.

How to cite

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Chataur, David, and Le Borgne, Jean-François. "On the loop homology of complex projective spaces." Bulletin de la Société Mathématique de France 139.4 (2011): 503-518. <http://eudml.org/doc/272667>.

@article{Chataur2011,
abstract = {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.},
author = {Chataur, David, Le Borgne, Jean-François},
journal = {Bulletin de la Société Mathématique de France},
keywords = {free loop spaces; Hochschild homology; string topology},
language = {eng},
number = {4},
pages = {503-518},
publisher = {Société mathématique de France},
title = {On the loop homology of complex projective spaces},
url = {http://eudml.org/doc/272667},
volume = {139},
year = {2011},
}

TY - JOUR
AU - Chataur, David
AU - Le Borgne, Jean-François
TI - On the loop homology of complex projective spaces
JO - Bulletin de la Société Mathématique de France
PY - 2011
PB - Société mathématique de France
VL - 139
IS - 4
SP - 503
EP - 518
AB - 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.
LA - eng
KW - free loop spaces; Hochschild homology; string topology
UR - http://eudml.org/doc/272667
ER -

References

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