3 papers
math.DG2026
Pin Equivariance and Local Dirac Boundary Problems on the Flat Mobius Band
Anik Chakraborty
We study complex rank-two pinor fields on the flat Möbius band and the relation between their deck equivariance and Dirac boundary realizations. With explicit Clifford conventions,…
math.FA2026
Fredholm Theory on Twisted Hilbert Scales: A Frame-Theoretic Approach to Half-Integer Fourier Modes
Anik Chakraborty, Varinder Kumar
We construct a Hilbert scale on via a unitary twist operator that maps the standard Fourier basis to half-integer frequency exponentials. The resulting weighted spaces…
gr-qc2025
Inverse Mobius Spacetime in 1+1D Quantum Gravity: Functional Analytic Structures, Dirac Spectrum, and Pin Geometry
Anik Chakraborty
In this manuscript, we formulate a (1+1)-dimensional Jackiw-Teitelboim gravity toy model whose Euclidean spacetime manifold is the Möbius band . Since is non-orientable, the…