Authors: | Panfil, Miłosz Stošić, Marko Sułkowski, Piotr |
Title: | Donaldson-Thomas invariants, torus knots, and lattice paths |
Journal: | Physical Review D |
Volume: | 98 |
Issue: | 2 |
Issue Date: | 15-Jul-2018 |
Rank: | M21 |
ISSN: | 2470-0010 |
DOI: | 10.1103/PhysRevD.98.026022 |
Abstract: | In this paper, we find and explore the correspondence between quivers, torus knots, and combinatorics of counting paths. Our first result pertains to quiver representation theory - we find explicit formulas for classical generating functions and Donaldson-Thomas invariants of an arbitrary symmetric quiver. We then focus on quivers corresponding to (r,s) torus knots and show that their classical ge... |
Publisher: | American Physical Society |
Project: | Quantum fields and knot homologies Portuguese Fundação para a Ciência e a Tecnologia (FCT), FCT Investigador Grant No. IF/00998/2015 Geometry, Education and Visualization With Applications National Science Centre, FUGA Grant No. 2015/16/S/ST2/00448 |
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