9 citations · 30 across the 21 of their papers we have counts for
4 papers · 1 filter
Geometric quantization of b-symplectic manifolds
Maxim Braverman, Yiannis Loizides, Yanli Song
We introduce a method of geometric quantization for compact -symplectic manifolds in terms of the index of an Atiyah-Patodi-Singer (APS) boundary value problem. We show further…
A KK-theoretic perspective on deformed Dirac operators
Yiannis Loizides, Rudy Rodsphon, Yanli Song
We study the index theory of a class of perturbed Dirac operators on non-compact manifolds of the form , where is a Clifford mul…
Quasi-polynomials and the singular theorem
Yiannis Loizides
In this short note we revisit the `shift-desingularization' version of the theorem for possibly singular symplectic quotients. We take as starting point an elegant proof…
Semi-classical analysis of piecewise quasi-polynomial functions and applications to geometric quantization
Yiannis Loizides, Paul-Emile Paradan, Michele Vergne
Motivated by applications to multiplicity formulas in index theory, we study a family of distributions associated to a piecewise quasi-polynomial function . The family…