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Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
BERKELEY · DAVIS · IRVINE · LOS ANGELES · MERCED · RIVERSIDE · SAN DIEGO · SAN FRANCISCO
CSANTA BARBARA · SANTA CRUZ
Geometry, Topology, and Physics Seminar
Two-manifolds, three-manifolds, and
supersymmetric gauge theory
Dave Morrison
UCSB
Friday, September 30, 2011, 4:00 p.m.
Room 6635 South Hall
Abstract: During the past two and a half years, much new progress has been
made in studying supersymmetric gauge field theories by using techniques from
low-dimensional topology. The starting point from the physics side is a class of
mysterious physical theories in 6 dimensions with maximal supersymmetry, which
should lead to supersymmetric gauge theories in 4 dimensions or 3 dimensions if
appropriately "compactified." The "compactification" involves a 2-manifold or a 3-
manifold, respectively, and the topology and geometry of these compactification
spaces turns out to be closely related to the physics. For example, with Drukker and
Okuda I found a close connection between a result in 2-manifold topology called the
Dehn-Thurston theorem and certain aspects of 4-dimensional supersymmetric gauge
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