Quotient of a loop group and Witten genus | Zendy

Rémi Léandre | Zendy

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Quotient of a loop group and Witten genus

Author(s) -

Rémi Léandre

Publication year - 2001

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1339219

Subject(s) - quotient , mathematics , dirac operator , conjecture , loop group , lie group , group (periodic table) , pure mathematics , loop (graph theory) , manifold (fluid mechanics) , genus , equivariant map , modular group , mathematical physics , algebra over a field , combinatorics , physics , quantum mechanics , mechanical engineering , botany , engineering , biology

Let us consider the free loop space L(M) of a compact manifold: it is endowed with a natural circleaction. The fixed point set of this circle action is the manifold himself.In finite dimension, when there is a circle action over a manifold, there are two types of relations betweenthe fixed point set and the total space. It is the purpose of the Berline-Vergne localization formulas ([B.V])and of the Lefschetz formulas ([Bi 2 ], [T]). In the first case, we localize the integrals...

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