The Batalin–Vilkovisky formalism and the determinant line bundle
نویسندگان
چکیده
منابع مشابه
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The infinite matrix ‘Schwartz’ group G−∞ is a classifying group for odd K-theory and carries Chern classes in each odd dimension, generating the cohomology. These classes are closely related to the Fredholm determinant on G−∞. We show that while the higher (even, Schwartz) loop groups of G−∞, again classifying for odd K-theory, do not carry multiplicative determinants generating the first Chern...
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15 صفحه اولRelative Zeta Determinants and the Geometry of the Determinant Line Bundle
The spectral ζ-function regularized geometry of the determinant line bundle for a family of first-order elliptic operators over a closed manifold encodes a subtle relation between the local family’s index theorem and fundamental non-local spectral invariants. A great deal of interest has been directed towards a generalization of this theory to families of elliptic boundary value problems. We gi...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2020
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2020.103792