Remarks on the Grothendieck-Teichm\"uller group and A. Beilinson's gluing
Alexey Kalugin
TL;DR
This paper explores the connection between Beilinson's gluing for perverse sheaves, the Grothendieck-Teichmüller group, and Etingof-Kazhdan quantization, providing insights into their interrelations.
Contribution
It clarifies the relationship between Beilinson's gluing, the Grothendieck-Teichmüller group, and quantum group quantization methods.
Findings
Established a link between Beilinson's gluing and the Grothendieck-Teichmüller group.
Explained the relation to Etingof-Kazhdan quantization.
Provided new perspectives on the structure of perverse sheaves in this context.
Abstract
In this note, we study A. Beilinson's gluing for perverse sheaves in the case of the diagonal arrangement and its relation to the Grothendieck-Teichm\"uller group. We also explain a relation to the Etingof-Kazhdan quantisation
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Advanced Algebra and Geometry