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Geometric Combinatorics
About this Title
Ezra Miller, University of Minnesota, Minneapolis, MN, Victor Reiner, University of Minnesota, Minneapolis, MN and Bernd Sturmfels, University of California, Berkeley, Berkeley, CA, Editors
Publication: IAS/Park City Mathematics Series
Publication Year:
2007; Volume 13
ISBNs: 978-0-8218-3736-8 (print); 978-1-4704-3912-5 (online)
DOI: https://doi.org/10.1090/pcms/013
MathSciNet review: MR2383123
MSC: Primary 05-01; Secondary 05-06, 52-02
Table of Contents
Front/Back Matter
Chapters
- What is geometric combinatorics?—An overview of the graduate summer school
- Lattice points, polyhedra, and complexity
- Root systems and generalized associahedra
- Topics in combinatorial differential topology and geometry
- Geometry of $q$ and $q,t$-analogs in combinatorial enumeration
- Chromatic numbers, morphism complexes, and Stiefel-Whitney characteristic classes
- Equivariant invariants and linear geometry
- An introduction to hyperplane arrangements
- Poset topology: Tools and applications
- Convex polytopes: Extremal constructions and $f$-vector shapes