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math-ph2014★ 7 cited
A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary
Jian Wang, Yong Wang
The Kastler-Kalau-Walze theorem, announced by Alain Connes, shows that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein-Hilbert acti…
math-ph2014
Twisted Dirac Operators and the Noncommutative Residue for Manifolds with Boundary
Jian Wang, Yong Wang
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 Kastle…