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math.SG2020
Towards a quantization of the double via the enhanced symplectic category
Peter Crooks, Jonathan Weitsman
This paper considers the enhanced symplectic "category" for purposes of quantizing quasi-Hamiltonian -spaces, where is a compact simple Lie group. Our starting point is the…
math.SG2020
The log symplectic geometry of Poisson slices
Peter Crooks, Markus Röser
Our paper develops a theory of Poisson slices and a uniform approach to their partial compactifications. The theory in question is loosely comparable to that of symplectic cross-se…
math.SG2020
Hessenberg varieties and Poisson slices
Peter Crooks, Markus Röser
This work pursues a circle of Lie-theoretic ideas involving Hessenberg varieties, Poisson geometry, and wonderful compactifications. In more detail, one may associate a symplectic…