Toric topology and polyhedral products / Anthony Bahri, Lisa Jeffrey, Taras Panov, Donald Stanley, Stephen Theriault, editors.

Format:

Book

Contributor:

Bahri, Abbas, editor.

Jeffrey, Lisa C., 1965- editor.

Panov, Taras E., 1975- editor.

Stanley, Donald, 1966- editor.

Theriault, Stephen, 1969- editor.

Series:

Fields Institute communications ; 1069-5265 89.

Fields Institute Communications ; 89

Language:

English

Subjects (All):

Algebraic topology.

Topology.

Geometry, Algebraic.

Commutative rings.

Global analysis (Mathematics).

Physical Description:

viii, 326 pages : illustrations ; 25 cm

Place of Publication:

Cham, Switzerland : Springer, 2024.

Summary:

"This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions. Contributions to this volume were written in connection to the thematic program Toric Topology and Polyhedral Products held at the Fields Institute from January-June 2020. 16 original contributions were inspired or influenced by the program. Toric Topology arose as a subject in its own right about twenty-five years ago. It sits at the intersection of commutative algebra, topology, combinatorics, algebraic geometry, and symplectic and convex geometry. Polyhedral products are a functorial generalization of a construction that is at the centre of Toric Topology. They are of independent interest and unify several constructions that arise in a diverse range of areas, such as geometric group theory, homotopy theory, algebraic combinatorics and subspace arrangements." -- Publisher's description.

Contents:

Connected Sums of Sphere Products and Minimally Non-Golod Complexes / Steven Amelotte

Toric Manifolds over 3-Polytopes / Anton Ayzenberg

Symmetric Products and a Cartan-Type Formula for Polyhedral Products / A. Bahri, M. Bendersky, F. R. Cohen, S. Gitler

Multiparameter Persistent Homology via Generalized Morse Theory / Peter Bubenik, Michael J. Catanzaro

Compact Torus Action on the Complex Grassmann Manifolds / Victor M. Buchstaber, Svjetlana Terzić

On the Enumeration of Fano Bott Manifolds / Yunhyung Cho, Eunjeong Lee, Mikiya Masuda, Seonjeong Park

Dga Models for Moment-Angle Complexes / Matthias Franz

Duality in Toric Topology / Jelena Grbić, Matthew Staniforth

Bundles over Connected Sums / Lisa Jeffrey, Paul Selick

The SO(4) Verlinde Formula Using Real Polarizations / Lisa Jeffrey, Kaidi Ye

GKM Graph Locally Modeled by × 1-Action on ∗ and Its Graph Equivariant Cohomology / Shintarô Kuroki, Vikraman Uma

On the Genera of Moment-Angle Manifolds Associated with Dual-Neighborly Polytopes: Combinatorial Formulas and Sequences / Santiago López de Medrano

Homeomorphic Model for the Polyhedral Smash Product of Disks and Spheres / Arnaud Ngopnang Ngompé

Invariance of Polarization Induced by Symplectomorphisms / Ethan Ross

Polyhedral Products for Wheel Graphs and Their Generalizations / Stephen Theriault

On the Cohomology Ring of Real Moment-Angle Complexes / Elizabeth Vidaurre.

Notes:

Includes bibliographical references.

ISBN:

3031572033

9783031572036

OCLC:

1423038891