nLab Luc Menichi

• personal page

• inSpire page

• ResearchGate page

Selected writings

On BV-algebra structure on Hochschild cohomology:

• Luc Menichi, Batalin-Vilkovisky algebra structures on Hochschild cohomology, Bulletin de la Société Mathématique de France, 137 2 (2009) 277-295 [arXiv:0711.1946, numdam:BSMF_2009__137_2_277_0/, pdf]

On Sullivan models in rational homotopy theory:

• Luc Menichi, Rational homotopy – Sullivan models, in: Free Loop Spaces in Geometry and Topology, IRMA Lect. Math. Theor. Phys., EMS (2015) [arXiv:1308.6685, doi:10.4171/153]

and specifically regarding the Sullivan models of loop spaces:

• Luc Menichi: Sullivan models and free loop space, A short introduction to Sullivan models, with the Sullivan model of a free loop space and the detailed proof of Vigué-Sullivan theorem on the Betti numbers of free loop space. Workshop on free loop space à Strasbourg, November 2008 (scanned notes pdf)

On the string topology of $n$-spheres:

• Luc Menichi, Gerald Gaudens: String topology for spheres, Comment. Math. Helv. 84 (2009) 135–157 [arXiv:math/0609304, ems:43186]

On the string topology of classifying spaces:

• David Chataur, Luc Menichi: String topology of classifying spaces [arXiv:0801.0174, pdf]

• Katsuhiko Kuribayashi, Luc Menichi: The Batalin–Vilkovisky Algebra in the String Topology of Classifying Spaces, Canadian Journal of Mathematics 71 4 (2019) 843-889 [doi:10.4153/CJM-2018-021-9]

Related entries

• Hochschild cohomology

• string topology

• J-homomorphism

• BV-algebra

• Sullivan model of free loop space

category: people