Equivariant cohomology and current algebras
Confluentes Mathematici, Tome 4 (2012) no. 2, article no. 1250001.
Publié le :
DOI : 10.1142/S1793744212500016
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     title = {Equivariant cohomology and current algebras},
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Alekseev, Anton; Ševera, Pavol. Equivariant cohomology and current algebras. Confluentes Mathematici, Tome 4 (2012) no. 2, article no. 1250001. doi : 10.1142/S1793744212500016. http://www.numdam.org/articles/10.1142/S1793744212500016/

[1] A. Alekseev and E. Meinrenken, The non-commutative Weil algebra, Invent. Math. 139 (2000) 135–172.

[2] H. Cartan, Notions d’algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie, in Colloque de topologie (espaces fibrés) (Bruxelles, 1950), pp. 15–27 (in French).

[3] H. Cartan, La transgression dans un groupe de Lie et dans un espace fibré principal, in Colloque de topologie (espaces fibrés) (Bruxelles, 1950), pp. 57–71 (in French).

[4] M. Cederwall, G. Ferretti, B. E. W. Nilsson and A. Westerberg, Higher-dimensional loop algebras, non-abelian extensions and p-branes, Nucl. Phys. B 424 (1994) 97.

[5] V. Drinfeld, Quasi-Hopf algebras, Algebra i Analiz 1 (1989) 114–148.

[6] L. Faddeev, Operator anomaly for the Gauss law, Phys. Lett. B 145 (1984) 81–84.

[7] L. Faddeev and S. Shatashvili, Algebraic and Hamiltonian methods in the theory of nonabelian anomalies, Teoret. Mat. Fiz. 60 (1984) 206–217 (in Russian).

[8] V. Ginzburg and M. Kapranov, Koszul duality for operads, Duke Math. J. 76 (1994) 203–272.

[9] V. Guillemin and S. Sternberg, Supersymmetry and Equivariant de Rham Theory, Mathematics Past and Present (Springer, 1999).

[10] S. Hu and B. Uribe, Extended manifolds and extended equivariant cohomology, J. Geom. Phys. 59 (2009) 104–131.

[11] Y. Kosmann-Schwarzbach, From Poisson algebras to Gerstenhaber algebras, Ann. Inst. Fourier (Grenoble) 46 (1996) 1241–1272.

[12] A. Losev, G. Moore, N. Nekrasov and S. Shatashvili, Central extensions of gauge groups revisited, Selecta Math. 4 (1998) 117–123.

[13] J. Mickelsson, Chiral anomalies in even and odd dimensions, Commun. Math. Phys. 97 (1985) 361–370.

[14] J. Mickelsson, Current Algebras and Groups (Plenum Press, 1989).

[15] C. Vizman, The path group construction of Lie group extensions, J. Geom. Phys. 58 (2008) 860–873.

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