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Tropical Geometry and Integrable Systems
About this Title
Chris Athorne, University of Glasgow, Glasgow, United Kingdom, Diane Maclagan, University of Warwick, Warwick, United Kingdom and Ian Strachan, University of Glasgow, Glasgow, United Kingdom, Editors
Publication: Contemporary Mathematics
Publication Year:
2012; Volume 580
ISBNs: 978-0-8218-7553-7 (print); 978-0-8218-9188-9 (online)
DOI: https://doi.org/10.1090/conm/580
Table of Contents
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Front/Back Matter
Articles
- Diane Maclagan – Introduction to tropical algebraic geometry
- Rei Inoue and Shinsuke Iwao – Tropical curves and integrable piecewise linear maps
- Florian Block – Counting algebraic curves with tropical geometry
- Paul Johnson – Hurwitz numbers, ribbon graphs, and tropicalization
- Toshiaki Maeno and Yasuhide Numata – Sperner property, matroids and finite-dimensional Gorenstein algebras
- Leonid Chekhov and Marta Mazzocco – Block triangular bilinear forms and braid group action
- Tomoki Nakanishi – Tropicalization method in cluster algebras
- Sergeĭ Sergeev – An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair
- R. Willox, A. Ramani, J. Satsuma and B. Grammaticos – A KdV cellular automaton without integers