Abstract
In our previous work (Kato and Terashima, Commun Math Phys. arXiv:1403.6569, 2014), we introduced the partition q-series for mutation loop γ—a loop in exchange quiver. In this paper, we show that for a certain class of mutation sequences, called reddening sequences, the graded version of partition q-series essentially coincides with the ordered product of quantum dilogarithm associated with each mutation; the partition q-series provides a state-sum description of combinatorial Donaldson–Thomas invariants introduced by Keller.
Original language | English |
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Pages (from-to) | 457-481 |
Number of pages | 25 |
Journal | Communications in Mathematical Physics |
Volume | 338 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2015 Aug 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics