8,093 research outputs found
Twisted Dirac Operators and the Noncommutative Residue for Manifolds with Boundary
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.Comment: arXiv admin note: text overlap with arXiv:1303.371
A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary
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 action of general relativity. In this paper, we prove a
Kastler-Kalau-Walze type theorem for 5-dimensional manifolds with boundary.Comment: arXiv admin note: text overlap with arXiv:1303.3713, arXiv:1404.233
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