Luc MENICHI Department of Mathematics Université d'Angers 49045 Angers cedex 01 France Office: I 111 (33) 2 41 73 50 25 (33) 2 41 73 54 54 (fax) e-mail

 

Etudiants, Cliquer ici pour les cours et les TDs.

I'm a lecturer in the Département de Mathématiques of the Université d'Angers.

• Areas of research: Algebraic Topology and Homological Algebra. More precisely, I am interested into String Topology and related topics:
  • Rational Homotopy
  • mod p cohomology of fiber products and of functional spaces, in particular free loop spaces,
  • Hochschild (co)homology, cyclic (co)homology, Hopf cyclic cohomology (à la Connes-Moscovici),
  • Gerstenhaber algebras, Batalin-Vilkovisky algebras, Frobenius algebras, Topological quantum field theory, Homological conformal field theory.

• Preprints and Publications.
  • The BV algebra in string topology of classifying spaces , (with K. Kuribayashi), Canadian Journal of Math. 331 (2019), no. 4, 843–889.
  • Derived string topology and the Eilenberg-Moore spectral sequence , (with K. Kuribayashi and T. Naito), Israel J. Math. 209 (2015), no. 2, 745–802.
  • Behavior of the Eilenberg-Moore spectral sequence in derived string topology , (with K. Kuribayashi and T. Naito), Topology Appl. 164 (2014), 24–44.
  • Rational Homotopy. Sullivan models , a chapter in the book "Free loop space in geometry and Topology", IRMA Lect. Math. Theor. Phys., 24, Eur. Math. Soc., Zürich, 2015, 111–136.
  • String topology of classifying spaces , ( with D. Chataur) J. Reine Angew. Math. 669 (2012), 1-45.
  • Connes-Moscovici characteristic map is a Lie algebra morphism , J. Algebra 331 (2011), no. 1, 311-337. (Sign) erratum.
  • A Batalin-Vilkovisky algebra morphism from double loop spaces to free loops , Trans. Amer. Math. Soc. 363 (2011), 4443-4462.
  • Van Den Bergh isomorphisms in String Topology , J. Noncommut. Geom. 5 (2011), no. 1, 69-105.
  • Batalin-Vilkovisky algebra structures on Hochschild Cohomology , Bull. Soc. Math. France 137 (2009), no~2, 277-295.
  • Batalin-Vilkovisky algebras and the J-homomorphism , (with G. Gaudens), Topology Appl. 156 (2008), no.~2, 365-374.
  • String topology for spheres , Comment. Math. Helv. 84 (2009), no.~1, 135--157.
  • Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras , K-Theory 32 (2004), 231--251. (Sign) erratum.
  • Gerstenhaber Duality in Hochschild cohomology , (with Y. Félix and J.-C. Thomas), J. Pure Appl. Algebra 199 (2005), 43--59.
  • P-th powers in mod p cohomology of fibers , C. R. Acad. Sci. Paris S r. I Math. 332 (2001), no.~6, 537--540.
  • The cohomology ring of free loop spaces, Homology Homotopy Appl. 3 (2001), no.~1, 193--224.
  • On the cohomology algebra of a fiber, Algebr. Geom. Topol. 1 (2001), 719--742
  • Sur l'algèbre de cohomologie d'une fibre. Phd thesis, University of Lille 1, July 1997
  • Structures algébriques sur l'homologie des lacets et la cohomologie de Hochschild. mémoire d'habilitation, Juin 2008. Exposé.

• programme, Bilan 2000-2001 établi par Gérald Gaudens.
• membres: Vincent Franjou, Gérald Gaudens, Jean-Francois Leborgne, Luc Menichi, Laurent Piriou, Jean-Claude Thomas, Antoine Touze et Friedrich Wagemann .

La librairie où travaille ma soeur, http://www.motsbouche.com