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Glasnik matematički, Vol. 61 No. 1, 2026.

Izvorni znanstveni članak

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

Puni tekst: engleski pdf 423 Kb

str. 151-159

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Sažetak

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.

Ključne riječi

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

Hrčak ID:

348191

URI

https://hrcak.srce.hr/348191

Datum izdavanja:

25.7.2026.

Posjeta: 0 *

Publication date: 30 June 2026

Volume: Vol 61

Issue: Svezak 1

Pages: 151-159

DOI: 10.3336/gm.61.1.06

Article Information (continued)

Categories:

Subject: Izvorni znanstveni članak

Keywords:

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

Note on concentration via the conjugate-linear Hodge star operator

Junho Lee[1]

Email: junho.lee@ucf.edu

 

[1] School of Data, Mathematical, and Statistical Sciences, University of Central Florida, Orlando, Florida 32816, USA

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.

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