223 citations · 223 across the 5 of their papers we have counts for
5 papers
Second-Jet Equivariant 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…
Higher-Rank Orthogonal Twists, APS Boundary Conditions, and -Equivariant Spectral Flow on a Warped Cylinder
Taro Kimura, Sanchita Sharma
We study -equivariant spectral flow for Dirac operators on a finite warped cylinder equipped with fixed admissible regularized APS boundary conditions. The twisting bundle is…
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…
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 gauge field. We identify the intrinsic endpoint operators defining the Atiyah-Patodi-Singer (…
Circuit Complexity in Fermionic Field Theory
Rifath Khan, Chethan Krishnan, Sanchita Sharma
We define and calculate versions of complexity for free fermionic quantum field theories in 1+1 and 3+1 dimensions, adopting Nielsen's geodesic perspective in the space of circuits…