**Selected Lectures**

1995;

MSC: Primary 57;
Secondary 53; 58

**Print ISBN: 978-0-8218-0434-6
Product Code: VIDEO/96**

List Price: $54.95

AMS Member Price: $43.96

# The Seiberg-Witten Invariants

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*Clifford H. Taubes*

In the fall of 1994, Edward Witten made a claim that astounded
geometers and topologists. He asserted that certain simple equations
arising in his work with Nathan Seiberg in supersymmetric quantum field
theory contained topological information equivalent to Donaldson theory.
Until that time, Donaldson theory had been the only known approach to
the study of smooth four-manifolds. These equations suggest a major
simplification of many intractable calculations associated with
Donaldson invariants, and they also have interesting applications of
their own. Within weeks of Witten's suggestion, researchers were looking
at Donaldson theory through the lens of these much simpler equations and
using them to prove important new results.

As one of the main contributors to these new developments, Clifford
Taubes offers an insider's view of how this revolution in geometry has
unfolded. Two lectures, each approximately fifty minutes, present the
main mathematical ideas as well as amusing anecdotes on the initial,
heady days of the new breakthrough.

This high-quality exposition is accessible to a general
mathematical audience, including students who have background in
geometry and topology.

#### Reviews & Endorsements

The lectures are a mix of space alien, whale watching, Forrest Gump anecdotes and mathematical exposition. The first 50-minute lecture is a very complete, well-balanced review of Donaldson theory… The author crams an amazing amount of detail into 100 minutes without losing the audience. I give this video four stars.

-- Mathematical Reviews

Accessible to a general mathematical audience, including students with background in geometry and topology.

-- Zentralblatt MATH