Francisco Santos, Universidad de Cantabria (España)

Triangulations of lattice polytopes

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Left: Fig 11 in F. Santos, G. Ziegler, Unimodular triangulations of dilated 3-polytopes, Trans. Moscow Math. Soc. 74 (2013), 293-311

Teaching Assistant: Mónica Blanco Gómez, Universidad de Cantabria (España)

LECTURE NOTES (Part 1) (Part 2)                         APUNTES (Parte 1) (Parte 2)

List of topics                                                

0. POLYTOPES, AFFINE GEOMETRY                        0. POLITOPOS, GEOMETRÍA AFÍN

1. TRIANGULATIONS AND SUBDIVISIONS                1. TRIANGULACIONES Y SUBDIVISIONES

    OF POINT CONFIGURATIONS                                    DE CONFIGURACIONES DE PUNTOS

Problem sheet 1                                                        Hoja de problemas 1

2.ORIENTED MATROIDS                                        2. MATROIDES ORIENTADAS

Problem sheet 2                                                        Hoja de problemas 2

3. FLIPS. GRAPH OF TRIANGULATIONS                  3. FLIPS. GRAFO DE TRIANGULACIONES

Problem sheet 3                                                        Hoja de problemas 3

4.REGULAR TRIANGULATIONS AND                        4. TRIANGULACIONES Y SUBDIVISIONES

   SUBDIVISIONS                                                    REGULARES

Problem sheet 4                                                        Hoja de problemas 4

5.Appendix. SECONDARY POLYTOPE                        5.Apéndice. POLITOPO SECUNDARIO

Problem sheet 5                                                        Hoja de problemas 5

Main References

J. A. De Loera, J. Rambau, F. Santos

Triangulations: Structures for Algorithms and Applications, 539 pp.

Algorithms and Computation in Mathematics, Vol. 25, Springer-Verlag.

ISBN: 978-3-642-12970-4

C. W. Lee. Subdivisions and triangulations of polytopes. In J. E. Goodman and J. O’Rourke, editors, Handbook of Discrete and Computational Geometry, pages 271–290. CRC Press, New York, 1997.