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- W2085250010 abstract "Abstract The Quillen–Bismut–Freed construction associates a determinant line bundle with connection to an infinite dimensional super vector bundle with a family of Dirac-type operators. We define the regularized first Chern form of the infinite dimensional bundle, and relate it to the curvature of the Bismut–Freed connection on the determinant bundle. In finite dimensions, these forms agree (up to sign), but in infinite dimensions there is a correction term, which we express in terms of Wodzicki residues. We illustrate these results with a string theory computation. There is a natural super vector bundle over the manifold of smooth almost complex structures on a Riemannian surface. The Bismut–Freed superconnection is identified with classical Teichmuller theory connections, and its curvature and regularized first Chern form are computed." @default.
- W2085250010 created "2016-06-24" @default.
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- W2085250010 date "2003-03-01" @default.
- W2085250010 modified "2023-10-16" @default.
- W2085250010 title "Curvature on determinant bundles and first Chern forms" @default.
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- W2085250010 doi "https://doi.org/10.1016/s0393-0440(01)00079-1" @default.
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