Celebratio Mathematica — Bott

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Works connected to Ronald John Stern

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R. Bott: “Configuration spaces and imbedding invariants,” pp. 1–17 in Proceedings of the 4th Gökova geometry-topology conference (Gökova, Turkey, 29 May–2 June 1995), published as Turkish J. Math. 20 : 1. Issue edited by S. Akbulut, T. Önder, and R. J. Stern. 1996. MR 1392659 Zbl 0880.57002 incollection

Turgut Önder	Related
Selman Akbulut	Related
Ronald John Stern	Related

R. Bott: “Critical point theory in mathematics and in mathematical physics,” pp. 9–40 in Proceedings of the 5th Gökova geometry-topology conference (Gökova, Turkey, 27–31 May 1996), published as Turk. J. Math. 21 : 1. Issue edited by S. Akbulut, T. Önder, and R. J. Stern. 1997. MR 1456156 Zbl 0889.58021 incollection

At last year’s Gökova Conference I reported on a “topological approach” to the “new” knot invariants, which Cliff Taubes and I had worked out along lines initiated by Alexrod and Singer [1994] and Kontsevich [1992] in their work on 3-manifold invariants.

This year I thought I would comment on how these invariants arise out of physics-inspired considerations, but in a manner which might be more palatable to mathematicians than other accounts I can point to in the literature.

At the heart of the matter, as I see it, is the quite different role critical point theory plays in topology and in quantum physics, and I will therefore start with a comparison of these roles in the simplest instance: that of a compact oriented manifold \( M \) equipped with a “Morse function” \( f:M\to R \).

Turgut Önder	Related
Selman Akbulut	Related
Ronald John Stern	Related