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024 7 _a10.1007/978-3-031-57204-3
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050 4 _aQA612-612.8
072 7 _aPBPD
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072 7 _aMAT038000
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072 7 _aPBPD
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245 1 0 _aToric Topology and Polyhedral Products
_h[electronic resource] /
_cedited by Anthony Bahri, Lisa Jeffrey, Taras Panov, Donald Stanley, Stephen Theriault.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aVIII, 326 p. 86 illus., 22 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
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490 1 _aFields Institute Communications,
_x2194-1564 ;
_v89
505 0 _aPreface -- 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.
520 _aThis 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 conributions 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.
650 0 _aAlgebraic topology.
650 0 _aManifolds (Mathematics).
_969683
650 0 _aAlgebraic geometry.
650 0 _aCommutative algebra.
_970151
650 0 _aCommutative rings.
_970152
650 0 _aGlobal analysis (Mathematics).
_969682
650 1 4 _aAlgebraic Topology.
650 2 4 _aManifolds and Cell Complexes.
_973090
650 2 4 _aAlgebraic Geometry.
650 2 4 _aCommutative Rings and Algebras.
_970156
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
_969685
700 1 _aBahri, Anthony.
_eeditor.
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_4http://id.loc.gov/vocabulary/relators/edt
_978516
700 1 _aJeffrey, Lisa.
_eeditor.
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_4http://id.loc.gov/vocabulary/relators/edt
_978517
700 1 _aPanov, Taras.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_978518
700 1 _aStanley, Donald.
_eeditor.
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_4http://id.loc.gov/vocabulary/relators/edt
_978519
700 1 _aTheriault, Stephen.
_eeditor.
_4edt
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_978520
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
_z9783031572067
830 0 _aFields Institute Communications,
_x2194-1564 ;
_v89
_974830
856 4 0 _uhttps://doi.org/10.1007/978-3-031-57204-3
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