The spectral action for sub-Dirac operators
Yong Wang
TL;DR
This paper computes the spectral action for sub-Dirac operators on foliations with spin leaves, providing insights into their spectral geometry and potential applications in mathematical physics.
Contribution
It introduces the computation of the spectral action specifically for sub-Dirac operators on foliated manifolds with spin leaves, a novel focus in spectral geometry.
Findings
Explicit formulas for the spectral action are derived.
The results connect spectral properties with geometric features of foliations.
Potential implications for quantum field theories on foliated spaces.
Abstract
In this paper, for foliations with spin leaves, we compute the spectral action for sub-Dirac operators.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Holomorphic and Operator Theory · Spectral Theory in Mathematical Physics