Integration over Tropical Plane Curves and Ultradiscretization
arXiv:0812.1873 · doi:10.1093/imrn/rnp129
Abstract
In this article we study holomorphic integrals on tropical plane curves in view of ultradiscretization. We prove that the lattice integrals over tropical curves can be obtained as a certain limit of complex integrals over Riemannian surfaces.
32pages, 12figures
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Cited by in corpus (6)
- Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
- An ultradiscrete integrable map arising from a pair of tropical elliptic pencils
- The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods
- A geometric realization of the ultradiscrete periodic Toda lattice via tropical plane curves
- Solutions to the ultradiscrete KP hierarchy and its reductions
- Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice