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Equivariant immersions and Quillen metrics

Equivariant immersions and Quillen metrics

The purpose of this paper is to construct Quillen metrics on the equivariant determinant of the cohomology of a holomorphic vector bundle with respect to the action of a compact group G .We calculate the behaviour of the equivariant Quillen metric by immersions, and thus extend a formula of Bismut-Lebeau …