TL;DR
This paper surveys recent Weyl laws in low-dimensional symplectic geometry, discussing their proofs and applications to provide a comprehensive overview of this mathematical area.
Contribution
It introduces and explains recent Weyl laws in symplectic geometry, including their proofs and diverse applications, offering a valuable resource for researchers.
Findings
Compilation of recent Weyl laws in symplectic geometry
Illustration of applications in low-dimensional cases
Outline of proof techniques for these laws
Abstract
We survey a number of Weyl type laws that have recently been established in low-dimensional symplectic geometry. These have had a number of applications, which we also introduce. We sketch a number of proofs so that the reader can get a sense of how these formulas are proved and how they can be applied.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Algebraic structures and combinatorial models