Random fields on the adele ring and Wilson's renormalization group
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M. D. Missarov (1989)
Annales de l'I.H.P. Physique théorique
Bogoslovsky, George Yu. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Yves Félix, Jean-Claude Thomas (2008)
Bulletin de la Société Mathématique de France
Let be a 1-connected closed manifold of dimension and be the space of free loops on . M.Chas and D.Sullivan defined a structure of BV-algebra on the singular homology of , . When the ring of coefficients is a field of characteristic zero, we prove that there exists a BV-algebra structure on the Hochschild cohomology which extends the canonical structure of Gerstenhaber algebra. We construct then an isomorphism of BV-algebras between and the shifted homology . We also prove that the...
Yves Félix, Jean-Claude Thomas, Micheline Vigué-Poirrier (2007)
Journal of the European Mathematical Society
We use the computational power of rational homotopy theory to provide an explicit cochain model for the loop product and the string bracket of a simply connected closed manifold . We prove that the loop homology of is isomorphic to the Hochschild cohomology of the cochain algebra with coefficients in . Some explicit computations of the loop product and the string bracket are given.
Muraskin, M. (1993)
International Journal of Mathematics and Mathematical Sciences
Sako, Akifumi (2010)
Advances in Mathematical Physics
Arthur Jaffe (1998)
Publications Mathématiques de l'IHÉS
Scott, Simon (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
A. K. Pogrebkov, I. T. Todorov (1983)
Annales de l'I.H.P. Physique théorique
Antoniou, I., Karpov, E., Prigogine, I., Pronko, G. (2004)
Discrete Dynamics in Nature and Society
L. M. Sibner (1984)
Compositio Mathematica
Benfatto, G. (1996)
Mathematical Physics Electronic Journal [electronic only]
Bostan, A., Boukraa, S., Hassani, S., Maillard, J.-M., Weil, J.-A., Zenine, N., Abarenkova, N. (2010)
Advances in Mathematical Physics
Bagaev, A.A. (2005)
Zapiski Nauchnykh Seminarov POMI
Marc Rosso (1990/1991)
Séminaire Bourbaki
Hans U. Boden (1991)
Commentarii mathematici Helvetici
Jea-Pil Cho, Răzvan Gelca (2014)
Fundamenta Mathematicae
We describe the action of the Kauffman bracket skein algebra on some vector spaces that arise as relative Kauffman bracket skein modules of tangles in the punctured torus. We show how this action determines the Reshetikhin-Turaev representation of the punctured torus. We rephrase our results to describe the quantum group quantization of the moduli space of flat SU(2)-connections on the punctured torus with fixed trace of the holonomy around the boundary.
Klink, William H. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Berkovich, Alexander, McCoy, Barry M. (1998)
Documenta Mathematica
Nobuaki Obata (1992)
Mathematische Zeitschrift
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