arXiv Open Access 2021

Quantum decorated character stacks

David Jordan Ian Le Gus Schrader Alexander Shapiro

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Abstrak

We initiate the study of decorated character stacks and their quantizations using the framework of stratified factorization homology. We thereby extend the construction by Fock and Goncharov of (quantum) decorated character varieties to encompass also the stacky points, in a way that is both compatible with cutting and gluing and equivariant with respect to canonical actions of the modular group of the surface. In the cases $G=SL_2,PGL_2$ we construct a system of categorical charts and flips on the quantum decorated character stacks which generalize the well--known cluster structures on the Fock--Goncharov moduli spaces.

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Penulis (4)

David Jordan

Ian Le

Gus Schrader

Alexander Shapiro

Format Sitasi

APA MLA BibTeX

Jordan, D., Le, I., Schrader, G., Shapiro, A. (2021). Quantum decorated character stacks. https://arxiv.org/abs/2102.12283

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓