|
Showing 1 - 7 of
7 matches in All Departments
Papers based on selected lectures given at the Current Development
Mathematics Conference, held in November 2009 at Harvard
University.
Originating with Andreas Floer in the 1980s, Floer homology has
proved to be an effective tool in tackling many important problems
in three- and four-dimensional geometry and topology. This book
provides a comprehensive treatment of Floer homology, based on the
Seiberg Witten monopole equations. After first providing an
overview of the results, the authors develop the analytic
properties of the Seiberg Witten equations, assuming only a basic
grounding in differential geometry and analysis. The Floer groups
of a general three-manifold are then defined and their properties
studied in detail. Two final chapters are devoted to the
calculation of Floer groups and to applications of the theory in
topology. Suitable for beginning graduate students and researchers,
this book provides the first full discussion of a central part of
the study of the topology of manifolds since the mid 1990s.
Originating with Andreas Floer in the 1980s, Floer homology has
proved to be an effective tool in tackling many important problems
in three- and four-dimensional geometry, and topology. This book
provides a comprehensive treatment of Floer homology, based on the
Seiberg-Witten monopole equations. After first providing an
overview of the results, the authors develop the analytic
properties of the Seiberg-Witten equations, assuming only a basic
grounding in differential geometry and analysis. The Floer groups
of a general three-manifold are then defined, and their properties
studied in detail. Two final chapters are devoted to the
calculation of Floer groups, and to applications of the theory in
topology. Suitable for beginning graduate students and researchers,
this book provides the first full discussion of a central part of
the study of the topology of manifolds since the mid 1990s.
These are the proceedings of the joint seminar by M.I.T. and
Harvard on the current developments in mathematics for the year
2002. The organizing committee for the seminar consisted of
distinguished mathematicians from the mathematics departments of
both institutions: B. Mazur, W. Schmid, and S.T. Yau from Harvard,
and D. Jerison, T. Mrowka, and R. Stanley from M.I.T. This year,
the seminar was dedicated to Prof. Wilfried Schmid and Prof. George
Lusztig. The 2002 speakers included Albert Bressan, Mark Haiman,
Richard Hain, Stephen Kudla, Yair Minsky, John Morgan, Leslie
Saper, Kari Vilonen, and David Vogan.
|
|