Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Low Dimensional Topology
 
Edited by: Tomasz S. Mrowka Massachusetts Institute of Technology, Cambridge, MA
Peter S. Ozsváth Columbia University, New York, NY
A co-publication of the AMS and IAS/Park City Mathematics Institute
Low Dimensional Topology
Hardcover ISBN:  978-0-8218-4766-4
Product Code:  PCMS/15
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-1629-4
Product Code:  PCMS/15.E
List Price: $112.00
MAA Member Price: $100.80
AMS Member Price: $89.60
Hardcover ISBN:  978-0-8218-4766-4
eBook: ISBN:  978-1-4704-1629-4
Product Code:  PCMS/15.B
List Price: $237.00 $181.00
MAA Member Price: $213.30 $162.90
AMS Member Price: $189.60 $144.80
Low Dimensional Topology
Click above image for expanded view
Low Dimensional Topology
Edited by: Tomasz S. Mrowka Massachusetts Institute of Technology, Cambridge, MA
Peter S. Ozsváth Columbia University, New York, NY
A co-publication of the AMS and IAS/Park City Mathematics Institute
Hardcover ISBN:  978-0-8218-4766-4
Product Code:  PCMS/15
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-1629-4
Product Code:  PCMS/15.E
List Price: $112.00
MAA Member Price: $100.80
AMS Member Price: $89.60
Hardcover ISBN:  978-0-8218-4766-4
eBook ISBN:  978-1-4704-1629-4
Product Code:  PCMS/15.B
List Price: $237.00 $181.00
MAA Member Price: $213.30 $162.90
AMS Member Price: $189.60 $144.80
  • Book Details
     
     
    IAS/Park City Mathematics Series
    Volume: 152009; 315 pp
    MSC: Primary 53; 57; 58;

    Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics, including differential geometry, hyperbolic geometry, combinatorics, representation theory, global analysis, classical mechanics, and theoretical physics. The Park City Mathematics Institute summer school in 2006 explored in depth the most exciting recent aspects of this interaction, aimed at a broad audience of both graduate students and researchers.

    The present volume is based on lectures presented at the summer school on low-dimensional topology. These notes give fresh, concise, and high-level introductions to these developments, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field of low-dimensional topology and to senior researchers wishing to keep up with current developments. The volume begins with notes based on a special lecture by John Milnor about the history of the topology of manifolds. It also contains notes from lectures by Cameron Gordon on the basics of three-manifold topology and surgery problems, Mikhail Khovanov on his homological invariants for knots, John Etnyre on contact geometry, Ron Fintushel and Ron Stern on constructions of exotic four-manifolds, David Gabai on the hyperbolic geometry and the ending lamination theorem, Zoltán Szabó on Heegaard Floer homology for knots and three manifolds, and John Morgan on Hamilton's and Perelman's work on Ricci flow and geometrization.

    Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.

    Readership

    Graduate students and research mathematicians interested in low dimensional topology.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Fifty years ago: Topology of manifolds in the 50’s and 60’s
    • Dehn surgery and 3-manifolds
    • Hyperbolic geometry and 3-manifold topology
    • Ricci flow and Thurston’s geometrization conjecture (with notes by Max Lipyanskiy)
    • Notes on link homology
    • Lecture notes on Heegard Floer homology
    • Contact geometry in low dimensional topology
    • Six lectures on four 4-manifolds
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 152009; 315 pp
MSC: Primary 53; 57; 58;

Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics, including differential geometry, hyperbolic geometry, combinatorics, representation theory, global analysis, classical mechanics, and theoretical physics. The Park City Mathematics Institute summer school in 2006 explored in depth the most exciting recent aspects of this interaction, aimed at a broad audience of both graduate students and researchers.

The present volume is based on lectures presented at the summer school on low-dimensional topology. These notes give fresh, concise, and high-level introductions to these developments, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field of low-dimensional topology and to senior researchers wishing to keep up with current developments. The volume begins with notes based on a special lecture by John Milnor about the history of the topology of manifolds. It also contains notes from lectures by Cameron Gordon on the basics of three-manifold topology and surgery problems, Mikhail Khovanov on his homological invariants for knots, John Etnyre on contact geometry, Ron Fintushel and Ron Stern on constructions of exotic four-manifolds, David Gabai on the hyperbolic geometry and the ending lamination theorem, Zoltán Szabó on Heegaard Floer homology for knots and three manifolds, and John Morgan on Hamilton's and Perelman's work on Ricci flow and geometrization.

Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.

Readership

Graduate students and research mathematicians interested in low dimensional topology.

  • Chapters
  • Introduction
  • Fifty years ago: Topology of manifolds in the 50’s and 60’s
  • Dehn surgery and 3-manifolds
  • Hyperbolic geometry and 3-manifold topology
  • Ricci flow and Thurston’s geometrization conjecture (with notes by Max Lipyanskiy)
  • Notes on link homology
  • Lecture notes on Heegard Floer homology
  • Contact geometry in low dimensional topology
  • Six lectures on four 4-manifolds
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.