On the loop homology of complex projective spaces  [ Sur l'homologie des lacets d'espaces projectifs complexes ]
Bulletin de la Société Mathématique de France, Tome 139 (2011) no. 4, pp. 503-518.

Sur l'homologie de l'espace des lacets des espaces projectifs complexes résumé : Dans cette note, on calcule l'homologie singulière de l'espace des lacets libres des espaces projectifs complexes munie de la BV-structure de Chas-Sullivan. On compare ces calculs avec ceux effectués en cohomologie de Hochschild.

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.

DOI : https://doi.org/10.24033/bsmf.2616
Classification : 55P50,  55N45,  55P48
Mots clés : espaces de lacets, string topologie
@article{BSMF_2011__139_4_503_0,
     author = {Chataur, David and Le Borgne, Jean-Fran\c cois},
     title = {On the loop homology of complex projective spaces},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {503--518},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {139},
     number = {4},
     year = {2011},
     doi = {10.24033/bsmf.2616},
     zbl = {1238.55004},
     mrnumber = {2869302},
     language = {en},
     url = {archive.numdam.org/item/BSMF_2011__139_4_503_0/}
}
Chataur, David; Le Borgne, Jean-François. On the loop homology of complex projective spaces. Bulletin de la Société Mathématique de France, Tome 139 (2011) no. 4, pp. 503-518. doi : 10.24033/bsmf.2616. http://archive.numdam.org/item/BSMF_2011__139_4_503_0/

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