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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