Note on concentration via the conjugate-linear Hodge star operator

2025/08/11 by Lee, Junho
#53C27 (Primary) 53C55 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.07622

Abstract

We construct conjugate-linear perturbations of twisted spinc 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.

Citations

• Witten deformation and divergence-free symmetric Killing 2-tensors
• Concentrating Dirac Operators and Generalized Seiberg-Witten Equations
• Conjugate linear perturbations of Dirac operators and Majorana fermions
• Generic transversality for unbranched covers of closed pseudoholomorphic curves

Related

• Concentrating Dirac Operators and Generalized Seiberg-Witten Equations
• Conjugate linear perturbations of Dirac operators and Majorana fermions
• p-Dirac Operators
• Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure
• The spectral torsion for the rescaled Dirac operator