Geodesics on weighted projective spaces
Victor Guillemin, Alejandro Uribe, Zuoqin Wang

TL;DR
This paper investigates the inverse spectral problem for weighted projective spaces, demonstrating that wave-trace methods can often determine the weights of these spaces from spectral data.
Contribution
It introduces wave-trace techniques to recover weights of weighted projective spaces, advancing understanding of spectral geometry in these spaces.
Findings
Weights can often be determined from spectral data
Wave-trace methods are effective for inverse problems
Spectral data encodes geometric information
Abstract
We study the inverse spectral problem for weighted projective spaces using wave-trace methods. We show that in many cases one can "hear" the weights of a weighted projective space.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Geometric Analysis and Curvature Flows
