Celebratio Mathematica — Simons

James Harris Simons

Works connected to James W. Alexander

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J. Cheeger and J. Simons: “Differential characters and geometric invariants,” pp. 50–80 in Geometry and topology (College Park, MD, 1983–1984). Edited by J. Alexander and J. Harer. Lecture Notes in Mathematics 1167. Springer (Berlin), 1985. MR 827262 Zbl 0621.57010 incollection

This paper first appeared in a collection of lecture notes which were distributed at the A.M.S. Summer Institute on Differential Geometry, held at Stanford in 1973. Since then it has been (and remains) the authors’ intention to make available a more detailed version. But, in the mean time, we continued to receive requests for the original notes. Moreover, the secondary invariants we discussed have recently arisen in some new contexts, e.g., in physics and in the work of Cheeger and Gromov on “collapse” (which was the subject of the first author’s lectures at the Special Year). For these reasons we decided to finally publish the notes, albeit in their original form.

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