Graph complexes with loops and wheels

Merkulov, Sergei

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Graph complexes with loops and wheels

Merkulov, Sergei

2009 • In Algebra, arithmetic, and geometry: in honor of Yu. I. Manin.

Peer reviewed

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https://hdl.handle.net/10993/6473

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Keywords :

deformation quantization; graph complexes; Poisson geometry

Disciplines :

Mathematics

Author, co-author :

Merkulov, Sergei ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit

Language :

English

Title :

Graph complexes with loops and wheels

Publication date :

2009

Main work title :

Algebra, arithmetic, and geometry: in honor of Yu. I. Manin.

Publisher :

Birkhäuser Boston, Boston, United States

Collection name :

Progress in Mathematics

Pages :

311-354

Peer reviewed :

Peer reviewed

Available on ORBilu :

since 19 September 2013

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Bibliography

W. L. Gan, Koszul duality for dioperads, Math. Res. Lett. 10 (2003), no. 1, 109–124.
M. Kontsevich, Formal (non)commutative symplectic geometry, Gel’fand mathematical seminars, 1990–1992, Birkhäuser, 1993, pp. 173–187.
M. Kontsevich, Letter to M. Markl, 2002.
M. Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003), no. 3, 157–216.
J.-L. Loday, Cyclic homology, Springer-Verlag, Berlin, 1998.
S. McLane, Categorical algebra, Bull. Amer. Math. Soc. 71 (1965), 40–106.
S.A. Merkulov, Nijenhuis infinity and contractible dg manifolds, math.ag/0403244, Compositio Mathematica (2005), no. 141, 1238–1254.
S.A. Merkulov, Deformation quantization of strongly homotopy lie algebras, 2006.
S.A. Merkulov, Prop profile of Poisson geometry, math.dg/0401034, Commun. Math. Phys. (2006), no. 262, 117–135.
M. Markl, S. Merkulov, and S. Shadrin, Wheeled PROPs, graph complexes and the master equation.
M. Markl and A. Voronov, PROPped-up graph cohomology, arXiv:math.QA/0307081 (2003) and this volume.
B. Vallette, A koszul duality for props, To appear in Trans. of Amer. Math. Soc. (2003).