Description

Book Synopsis

Preface.- Connected sums of sphere products and minimally non-Golod complexes.- Toric manifolds over 3-polytopes.- Symmetric products and a Cartan-type formula for polyhedral products.- Multiparameter persistent homology via generalized Morse theory.- Compact torus action on the complex Grassmann manifolds.- On the enumeration of Fano Bott manifolds.- Dga models for moment-angle complexes.- Duality in toric topology.- Bundles over connected sums.- The SO(4) Verlinde formula using real polarizations.- GKM graph locally modelled by TnxS1-action on T*Cn and its graph equivariant cohomology.- On the genera of moment-angle manifolds associated to dual-neighborly polytopes: combinatorial formulas and sequences.- Homeomorphic model for the polyhedral smash product of disks and spheres.- Invariance of polarization induced by symplectomorphisms.- Polyhedral products for wheel graphs and their generalizations.- On the cohomology ring of real moment-angle complexes.

Toric Topology and Polyhedral Products

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    A Hardback by Anthony Bahri

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      Book details

      Publisher Springer
      Published 6 November 2024
      ISBN-13 9783031572036
      978-3031572036
      ISBN-10 3031572033
      Also in:
      Algebraic topology

      Description

      Book Synopsis

      Preface.- Connected sums of sphere products and minimally non-Golod complexes.- Toric manifolds over 3-polytopes.- Symmetric products and a Cartan-type formula for polyhedral products.- Multiparameter persistent homology via generalized Morse theory.- Compact torus action on the complex Grassmann manifolds.- On the enumeration of Fano Bott manifolds.- Dga models for moment-angle complexes.- Duality in toric topology.- Bundles over connected sums.- The SO(4) Verlinde formula using real polarizations.- GKM graph locally modelled by TnxS1-action on T*Cn and its graph equivariant cohomology.- On the genera of moment-angle manifolds associated to dual-neighborly polytopes: combinatorial formulas and sequences.- Homeomorphic model for the polyhedral smash product of disks and spheres.- Invariance of polarization induced by symplectomorphisms.- Polyhedral products for wheel graphs and their generalizations.- On the cohomology ring of real moment-angle complexes.

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