On the loop homology of complex projective spaces

DOI10.24033/bsmf.2616zbMath1238.55004OpenAlexW2276203041MaRDI QIDQ2880700

David Chataur, Jean-François Le Borgne

Publication date: 14 April 2012

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/139/html/smf_bull_139_503-518.php

zbMATH Keywords

Hochschild cohomologyfree loop spaceBV algebrastring topology

Mathematics Subject Classification ID

Loop space machines and operads in algebraic topology (55P48) Products and intersections in homology and cohomology (55N45) String topology (55P50)

Related Items (3)

Symplectic cohomology and a conjecture of Viterbo ⋮ Free loop space homology of highly connected manifolds ⋮ The Batalin–Vilkovisky Algebra in the String Topology of Classifying Spaces

Cites Work

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• Batalin-Vilkovisky algebra structures on Hochschild cohomology
• Batalin-Vilkovisky Lie algebra structure on the loop homology of complex Stiefel manifolds

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