Abstract
The pentagram map is a completely integrable system defined on the moduli space of polygons. The integrals for the system are certain weighted homogeneous polynomials, which come in pairs: E1,O2,E2,O2,... In this paper we prove that Ek = Ok for all k, when these integrals are restricted to the space of polygons which are inscribed in a conic section. Our proof is essentially a combinatorial analysis of the integrals.
Original language | English (US) |
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Pages (from-to) | 1-19 |
Number of pages | 19 |
Journal | Electronic Journal of Combinatorics |
Volume | 18 |
Issue number | 1 |
DOIs | |
State | Published - 2011 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
- Applied Mathematics