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arXiv · 1408.0444

Quantum dilogarithms and partition q-series

Akishi Kato·Yuji Terashima
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Abstract

In our previous work [arXiv:1403.6569], we introduced the partition q-series for mutation loop --- a loop in exchange quiver. In this paper, we show that for certain class of mutation sequences, called reverse-ending mutation loops, a 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 B. Keller.

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Akishi Kato, Yuji Terashima. 2015-02-24. Quantum dilogarithms and partition q-series. https://doi.org/10.1007/s00220-015-2323-y

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