The operator $$\sqrt{-1}\widehat{c}(V)(d+\delta )$$ and the Kastler–Kalau–Walze type theorems
Tóm tắt
In this paper, we obtain two Lichnerowicz type formulas for the operators
$$\sqrt{-1}\widehat{c}(V)(d+\delta )$$
and
$$-\sqrt{-1}(d+\delta )\widehat{c}(V)$$
. And we give the proof of Kastler–Kalau–Walze type theorems for the operators
$$\sqrt{-1}\widehat{c}(V)(d+\delta )$$
and
$$-\sqrt{-1}(d+\delta )\widehat{c}(V)$$
on 3,4-dimensional oriented compact manifolds with (resp.without) boundary.
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