Skip to main content
SpringerLink
Log in

Combinatorial Methods in Topology and Algebra

  • Book
  • © 2015

Overview

Editors:
  1. Bruno Benedetti

    1. Department of Mathematics, University of Miami, Coral Gables, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Emanuele Delucchi

    1. Département de Mathématiques, Université de Fribourg, Fribourg, Switzerland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Luca Moci

    1. Université Paris-Diderot, , IMJ-PRG, Paris 7, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Presents contributions from many leading experts and emerging researchers in the field
  • Offers an up-to-date overview of current trends
  • Distinctively interdisciplinary and aimed at a wide readership
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer INdAM Series (SINDAMS, volume 12)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (29 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Introduction

    • Bruno Benedetti, Emanuele Delucchi, Luca Moci
    Pages 1-4

  3. Part I

    1. Front Matter

      Pages 5-5
      Download chapter PDF

    2. Extremal Graph Theory and Face Numbers of Flag Triangulations of Manifolds

      • Michał Adamaszek
      Pages 7-10

    3. Combinatorial Stratifications and Minimality of Two-Arrangements

      • Karim A. Adiprasito
      Pages 11-14

    4. Random Triangular Groups

      • Sylwia Antoniuk, Tomasz Łuczak, Jacek Świa̧tkowski
      Pages 15-18

    5. Generalized Involution Models of Projective Reflection Groups

      • Fabrizio Caselli, Eric Marberg
      Pages 19-23

    6. Universal Gröbner Bases for Maximal Minors of Matrices of Linear Forms

      • Aldo Conca
      Pages 25-30

    7. Torsion in the Homology of Milnor Fibers of Hyperplane Arrangements

      • Graham Denham, Alexander I. Suciu
      Pages 31-36

    8. Decompositions of Betti Diagrams of Powers of Monomial Ideals: A Stability Conjecture

      • Alexander Engström
      Pages 37-40

    9. Matroids Over a Ring

      • Alex Fink, Luca Moci
      Pages 41-47

    10. A Minimal Irreducible Triangulation of \(\mathbb{S}^{3}\)

      • Florian Frick
      Pages 49-52

    11. Tropical Oriented Matroids

      • Silke Horn
      Pages 53-57

    12. Rota’s Conjecture, the Missing Axiom, and Prime Cycles in Toric Varieties

      • June Huh
      Pages 59-62

    13. A Combinatorial Classification of Buchsbaum Simplicial Posets

      • Jonathan Browder, Steven Klee
      Pages 63-68

    14. Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares

      • Grigoriy Blekherman, Sadik Iliman, Martina Juhnke-Kubitzke
      Pages 69-77

    15. On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopes

      • Matthias Lenz
      Pages 79-84

    16. Root Polytopes of Crystallographic Root Systems

      • Mario Marietti
      Pages 85-89

    17. On Product Formulas for Volumes of Flow Polytopes

      • Karola Mészáros
      Pages 91-95

    18. On the Topology of the Cambrian Semilattices

      • Myrto Kallipoliti, Henri Mühle
      Pages 97-101
Back to top

Keywords

About this book

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. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory.

The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.

Editors and Affiliations

  • Department of Mathematics, University of Miami, Coral Gables, USA

    Bruno Benedetti

  • Département de Mathématiques, Université de Fribourg, Fribourg, Switzerland

    Emanuele Delucchi

  • Université Paris-Diderot, , IMJ-PRG, Paris 7, France

    Luca Moci

Bibliographic Information

  • Book Title: Combinatorial Methods in Topology and Algebra

  • Editors: Bruno Benedetti, Emanuele Delucchi, Luca Moci

  • Series Title: Springer INdAM Series

  • DOI: https://doi.org/10.1007/978-3-319-20155-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-20154-2Published: 27 October 2015

  • Softcover ISBN: 978-3-319-36998-3Published: 23 August 2016

  • eBook ISBN: 978-3-319-20155-9Published: 31 October 2015

  • Series ISSN: 2281-518X

  • Series E-ISSN: 2281-5198

  • Edition Number: 1

  • Number of Pages: VII, 227

  • Topics: Algebra, Discrete Mathematics, Topology, Convex and Discrete Geometry

Publish with us

Policies and ethics

Back to top

Search

Navigation