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Original scientific paper

https://doi.org/10.3336/gm.61.1.06

Note on concentration via the conjugate-linear Hodge star operator

Junho Lee ; School of Data, Mathematical, and Statistical Sciences, University of Central Florida, Orlando, Florida 32816, USA


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Abstract

We construct conjugate-linear perturbations of twisted \(\rm{spin}^{\rm c}\) Dirac operators
on compact almost Hermitian manifolds of dimension congruent to \(2\) or \(6\) modulo \(8\),
employing the conjugate-linear Hodge star operator rescaled by unit complex numbers depending on degree.
These perturbations satisfy the concentration principle.

Keywords

Twisted \(\rm{spin}^{\rm c}\) Dirac operator, Conjugate-linear perturbation, Concentration principle

Hrčak ID:

348191

URI

https://hrcak.srce.hr/348191

Publication date:

26.7.2026.

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