Sanchita Sharma

collaborators

4 papers

math.DG2026

Second-Jet Equivariant $I^\cdot$ Separations on Lens Spaces

Sanchita Sharma

Lens spaces are useful test examples in spectral geometry because their spin Dirac eigenspaces admit explicit congruence descriptions. We use these descriptions to study equivarian…

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 (…

Second-Jet Equivariant I^⋅ Separations on Lens Spaces

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

Second-Jet Equivariant $I^\cdot$ Separations on Lens Spaces

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