Hamiltonian monodromy via geometric quantization and theta functions
Nicola Sansonetto, Mauro Spera
TL;DR
This paper explores Hamiltonian monodromy using geometric quantization and theta functions, focusing on differential geometric aspects and holonomies of flat connections.
Contribution
It introduces a novel approach connecting Hamiltonian monodromy with geometric quantization and theta functions, emphasizing differential geometric properties.
Findings
Relation between Hamiltonian monodromy and flat connection holonomies
Application of theta functions in geometric quantization
New insights into the differential geometric structure of monodromy
Abstract
In this paper, Hamiltonian monodromy is studied from the point of view of geometric quantization abd theta functions, and various differential geometric aspects thereof are dealt with, all related to holonomies of suitable flat connections.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons