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Group Actions and Equivariant Cohomology
 
Edited by: Loring W. Tu Tufts University, Medford, MA
Softcover ISBN:  978-1-4704-7180-4
Product Code:  CONM/808
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Not yet published - Preorder Now!
Expected availability date: January 10, 2025
eBook ISBN:  978-1-4704-7723-3
Product Code:  CONM/808.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7180-4
eBook: ISBN:  978-1-4704-7723-3
Product Code:  CONM/808.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Not yet published - Preorder Now!
Expected availability date: January 10, 2025
Click above image for expanded view
Group Actions and Equivariant Cohomology
Edited by: Loring W. Tu Tufts University, Medford, MA
Softcover ISBN:  978-1-4704-7180-4
Product Code:  CONM/808
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Not yet published - Preorder Now!
Expected availability date: January 10, 2025
eBook ISBN:  978-1-4704-7723-3
Product Code:  CONM/808.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7180-4
eBook ISBN:  978-1-4704-7723-3
Product Code:  CONM/808.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Not yet published - Preorder Now!
Expected availability date: January 10, 2025
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 8082024; 276 pp
    MSC: Primary 55; 57; 58; 19; 14

    This volume contains the proceedings of the virtual AMS Special Session on Equivariant Cohomology, held March 19–20, 2022.

    Equivariant topology is the algebraic topology of spaces with symmetries. At the meeting, “equivariant cohomology” was broadly interpreted to include related topics in equivariant topology and geometry such as Bredon cohomology, equivariant cobordism, GKM (Goresky, Kottwitz, and MacPherson) theory, equivariant \(K\)-theory, symplectic geometry, and equivariant Schubert calculus.

    This volume offers a view of the exciting progress made in these fields in the last twenty years. Several of the articles are surveys suitable for a general audience of topologists and geometers. To be broadly accessible, all the authors were instructed to make their presentations somewhat expository. This collection should be of interest and useful to graduate students and researchers alike.

    Readership

    Graduate students and research mathematicians interested in algebraic topology, group actions, and equivariant cohomology.

  • Table of Contents
     
     
    • Articles
    • Noé Bárcenas — A survey of computations of Bredon cohomology
    • Jack Carlisle — Cobordism of $G$-manifolds
    • Jeffrey D. Carlson — The cohomology of homogeneous spaces in historical context
    • Chi-Kwong Fok — A stroll in equivariant $K$-theory
    • Matthias Franz — The Chang–Skjelbred lemma and generalizations
    • Oliver Goertsches, Panagiotis Konstantis and Leopold Zoller — Low-dimensional GKM theory
    • Rebecca Goldin — On positivity for the Peterson variety
    • Chen He — Localization of equivariant cohomology rings of real and oriented Grassmannians
    • Matvei Libine — Localization of integrals of equivariant forms for non-compact group actions
    • Andrés Pedroza — Induced Hamiltonian function on the symplectic one-point blowup
    • Loring W. Tu — Gysin formulas and equivariant cohomology
    • Julianna Tymoczko — A concise introduction to GKM theory, 25 years on
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 8082024; 276 pp
MSC: Primary 55; 57; 58; 19; 14

This volume contains the proceedings of the virtual AMS Special Session on Equivariant Cohomology, held March 19–20, 2022.

Equivariant topology is the algebraic topology of spaces with symmetries. At the meeting, “equivariant cohomology” was broadly interpreted to include related topics in equivariant topology and geometry such as Bredon cohomology, equivariant cobordism, GKM (Goresky, Kottwitz, and MacPherson) theory, equivariant \(K\)-theory, symplectic geometry, and equivariant Schubert calculus.

This volume offers a view of the exciting progress made in these fields in the last twenty years. Several of the articles are surveys suitable for a general audience of topologists and geometers. To be broadly accessible, all the authors were instructed to make their presentations somewhat expository. This collection should be of interest and useful to graduate students and researchers alike.

Readership

Graduate students and research mathematicians interested in algebraic topology, group actions, and equivariant cohomology.

  • Articles
  • Noé Bárcenas — A survey of computations of Bredon cohomology
  • Jack Carlisle — Cobordism of $G$-manifolds
  • Jeffrey D. Carlson — The cohomology of homogeneous spaces in historical context
  • Chi-Kwong Fok — A stroll in equivariant $K$-theory
  • Matthias Franz — The Chang–Skjelbred lemma and generalizations
  • Oliver Goertsches, Panagiotis Konstantis and Leopold Zoller — Low-dimensional GKM theory
  • Rebecca Goldin — On positivity for the Peterson variety
  • Chen He — Localization of equivariant cohomology rings of real and oriented Grassmannians
  • Matvei Libine — Localization of integrals of equivariant forms for non-compact group actions
  • Andrés Pedroza — Induced Hamiltonian function on the symplectic one-point blowup
  • Loring W. Tu — Gysin formulas and equivariant cohomology
  • Julianna Tymoczko — A concise introduction to GKM theory, 25 years on
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.