Combinatorial Methods in Topology and Algebra

Häftad, Engelska, 2016

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Beskrivning

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013.

Produktinformation

Utgivningsdatum:2016-08-23
Mått:155 x 235 x 13 mm
Vikt:365 g
Format:Häftad
Språk:Engelska
Serie:Springer INdAM Series
Antal sidor:227
Förlag:Springer International Publishing AG
ISBN:9783319369983

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Innehållsförteckning

1 Introduction.- 2 Part I.- 3 Extremal graph theory and face numbers of flag triangulations of manifolds.- 4 Combinatorial stratifications and minimality of 2-arrangements.- 5 Rota’s conjecture, the missing axiom, and prime cycles in toric varieties.- 6 Random triangular groups.- 7 Generalized involution models of projective reflection groups.- 8 Universal Gröbner bases for maximal minors of matrices of linear forms.- 9 Milnor fibrations of arrangements.- 10 Decompositions of Betti diagrams of powers of monomial ideals.- 11 Matroids over a ring.- 12 A Minimal Irreducible Triangulation of S3.- 13 Tropical Oriented Matroids.- 14 A combinatorial classification of Buchsbaum simplicial posets.- 15 Differences Between Nonnegative Polynomials and Sums of Squares.- 16 Interpolation, box splines, and lattice points in polytopes.- 17 Root polytopes of crystallographic root systems.- 18 Product formulas for volumes of flow polytopes.- 19 On the Topology of the Cambrian Semilattices.- 20 cd-index for CW-posets.- 21 Bipartite Rigidity.- 22 Balanced manifolds and pseudomanifolds.- 23 Some combinatorial constructions and relations with Artin groups.- 24 Deterministic Abelian Sandpile and square-triangle tilings.- 25 A special feature of quadratic monomial ideals.- 26 Resonant bands, local systems and Milnor fibers of real line arrangements.- 27 Full research papers.- 28 On Highly Regular Embeddings.- 29 Positive sum systems.- 30 The Sn+1 action on spherical models and supermaximal models of tipe An-1.- 31 h-vectors of matroid complexes.