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The Witten conjecture. (English) Zbl 1062.57036

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 2nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 7–15, 2000. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-2-5/pbk). 254-264 (2001).
Summary: Low-dimensional topology has experienced a number of revolutionary upheavals in the past twenty years. For many of these the seeds of the revolution were shown in theoretical physics and, more particularly, in the work of Edward Witten. The most recent such event occurred in 1994 when Witten suggested that the topological information about smooth 4-manifolds contained in the Donaldson invariants should also be contained in the much simpler and now famous Seiberg-Witten invariants. This lecture will provide an informal survey of some of the background behind the conjecture and how it came to be made.
For the entire collection see [Zbl 0957.00038].

MSC:

57R57 Applications of global analysis to structures on manifolds
53C27 Spin and Spin\({}^c\) geometry
57N13 Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010)
57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
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