Sanchita Sharma

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math-ph2026

Higher-Rank Orthogonal Twists, APS Boundary Conditions, and $O (2)$ -Equivariant Spectral Flow on a Warped Cylinder

Taro Kimura, Sanchita Sharma

We study $O (2)$ -equivariant spectral flow for Dirac operators on a finite warped cylinder equipped with fixed admissible regularized APS boundary conditions. The twisting bundle is…

math-ph2026

Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped Cylinder

Taro Kimura, Sanchita Sharma

We study reflection symmetry and Atiyah-Patodi-Singer (APS) boundary conditions for twisted Dirac operators on a finite warped cylinder. For a complex line twist with holonomy para…

math-ph2026

Dirac Operators, APS Boundary Conditions, and Spectral Flow on a Finite Warped Cylinder

Taro Kimura, Sanchita Sharma

We study the Dirac operator on a finite warped cylinder coupled to a background $U (1)$ gauge field. We identify the intrinsic endpoint operators defining the Atiyah-Patodi-Singer (…

Higher-Rank Orthogonal Twists, APS Boundary Conditions, and O(2)-Equivariant Spectral Flow on a Warped Cylinder

Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped Cylinder

Dirac Operators, APS Boundary Conditions, and Spectral Flow on a Finite Warped Cylinder

Higher-Rank Orthogonal Twists, APS Boundary Conditions, and $O (2)$ -Equivariant Spectral Flow on a Warped Cylinder