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Twisted Dirac Operators and the Noncommutative Residue for Manifolds with Boundary (1404.2339v1)
Published 9 Apr 2014 in math-ph, math.DG, and math.MP
Abstract: In this paper, we give two Lichnerowicz type formulas for Dirac operators and signature operators twisted by a vector bundle with a non-unitary connection. We also prove two Kastler-Kalau-Walze type theorems for twisted Dirac operators and twisted signature operators on 4-dimensional manifolds with (resp. without) boundary.
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