Towards a quantization of the double via the enhanced symplectic ``category

DOI10.1007/s40687-021-00269-0zbMath1469.53133arXiv2012.11383OpenAlexW3170922836MaRDI QIDQ2036393

Peter Crooks, Jonathan Weitsman

Publication date: 29 June 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11383

zbMATH Keywords

geometric quantizationquasi-Hamiltonian \(G\)-spaceDehn twist automorphismsymplectic ``category

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50)

Cites Work

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• Dirac operators on quasi-Hamiltonian \(G\)-spaces
• Pre-quantization of the moduli space of flat \(G\)-bundles over a surface
• Symplectic categories
• Lie group valued moment maps
• The modular group action on real \(SL(2)\)-characters of a one-holed torus
• Hamiltonian loop group actions and Verlinde factorization
• The Verlinde formulas as fixed point formulas.
• Norm-square localization and the quantization of Hamiltonian loop group spaces
• Quantization of Hamiltonian loop group spaces
• Quantization of q-Hamiltonian SU(2)-spaces
• Prequantization of Quasi-Hamiltonian spaces
• Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten's volume formulas
• Twisted K-Homology and Group-Valued Moment Maps
• Lectures on group-valued moment maps and Verlinde formulas

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