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- W2287306084 abstract "In this paper we study and relate the non-abelian zeta functions introduced by Weng and invariants of the moduli spaces of arbitrary rank stable pairs over curves. We prove a wall-crossing formula for the latter invariants and obtain an explicit formula for these invariants in terms of the motive of a curve. Previously, formulas for these invariants were known only for rank 2 due to Thaddeus and for rank 3 due to Mu~noz. Using these results we obtain an explicit formula for the non-abelian zeta functions, we check the uniformity conjecture by Weng for the ranks 2 and 3, and we prove the counting miracle conjecture." @default.
- W2287306084 created "2016-06-24" @default.
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- W2287306084 date "2013-10-18" @default.
- W2287306084 modified "2023-09-27" @default.
- W2287306084 title "Moduli spaces of stable pairs and non-abelian zeta functions of curves via wall-crossing" @default.
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