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Gauge Theory and the Topology of Four-Manifolds cover image. IAS/Park City Mathematics Series Volume: 4; ; pp; Hardcover.
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    With the advent of gauge theories and the developments of symplectic topology and the 4-dimensional handlebody techniques, the field of 4-manifolds has experienced a period of phenomenal growth and development. By using gauge theory, Donaldson showed that smooth 4-manifolds are very different from their higher dimensional counterparts. Further results followed with the development of Seiberg-Witten gauge theory, which significantly simplified and extended use of gauge theory in the topology of 4-manifolds.


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    Taubes related the Seiberg-Witten and Gromov-Witten invariants of symplectic 4-manifolds, thereby establishing a very important link between smooth and symplectic topology. Ever since, techniques from symplectic and contact topology have provided some of the most important tools in low-dimensional topology, making available a number of new invariants for the study of a large class of smooth 4-manifolds.


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    Our workshop will bring together leading researchers working in the fields of three- and four-dimensional topology, gauge theory, contact and symplectic topology as well as some researchers in the topology of higher dimensional geometric structures. Copyright Year: Page Count: Cover Type: Hardcover.

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    Gauge Theory and the Topology of Four-Manifolds

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