Stable Pontryagin–Thom construction for proper maps

Relative Compactness and Product Stable Quotient Maps

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Geometric Quantization for Proper Moment Maps

We establish a geometric quantization formula for Hamiltonian actions of a compact Lie group acting on a non-compact symplectic manifold such that the associated moment map is proper. In particular, we resolve the conjecture of Vergne in this non-compact setting. 0. Introduction The famous geometric quantization conjecture of Guillemin and Sternberg [9] states that for a compact pre-quantizable...

Exponential Law for Uniformly Continuous Proper Maps

EXPONENTIAL LAW FOR UNIFORMLY CONTINUOUS PROPER MAPS R . AYALA, E . DOMINGUEZ, A . QUINTERO The purpose of this note is to prove the exponential law for uniformly continuous proper maps . Let X be a regular space and Y a locally compact regular space . It is well known that the spaces of continuousmaps C(X x Y, Z) and C(X, C(Y Z)) are homeomorphic considering the compact-open topology. This pro...

Stable maps and Schwartz maps