TY - JOUR
T1 - Quantum Dilogarithms and Partition q-Series
AU - Kato, Akishi
AU - Terashima, Yuji
N1 - Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2015/8/1
Y1 - 2015/8/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00220-015-2323-y
DO - 10.1007/s00220-015-2323-y
M3 - Article
AN - SCOPUS:84939958925
VL - 338
SP - 457
EP - 481
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 1
ER -