Topology

Spectral and Symplectic Riemann Mappings

Authors: Ryan J. Buchanan
Comments: 12 Pages.

Given a collection of sections of a principal fiber running from the base of a topological space to its top, can we recreate the entire topological space? We answer this question in the affirmative for symplectic manifolds,assuming we are given a filtration of weights. Using the weights which are representative generators at each local neighborhood about each section of a smooth fiber, we reduce our original problem to the Ricci-iterated mapping of Riemann surfaces along a geodesic.
Category: Topology