Andreas Floer died on May 15, 1991 an untimely and tragic death.
His visions and far-reaching contributions have significantly
influenced the developments of mathematics. His main interests
centered on the fields of dynamical systems, symplectic geometry,
Yang-Mills theory and low dimensional topology. Motivated by the
global existence problem of periodic solutions for Hamiltonian
systems and starting from ideas of Conley, Gromov and Witten, he
developed his Floer homology, providing new, powerful methods which
can be applied to problems inaccessible only a few years ago. This
volume opens with a short biography and three hitherto unpublished
papers of Andreas Floer. It then presents a collection of invited
contributions, and survey articles as well as research papers on
his fields of interest, bearing testimony of the high esteem and
appreciation this brilliant mathematician enjoyed among his
colleagues. Authors include: A. Floer, V.I. Arnold, M. Atiyah, M.
Audin, D.M. Austin, S.M. Bates, P.J. Braam, M. Chaperon, R.L.
Cohen, G. Dell' Antonio, S.K. Donaldson, B. D'Onofrio, I. Ekeland,
Y. Eliashberg, K.D. Ernst, R. Finthushel, A.B. Givental, H. Hofer,
J.D.S. Jones, I. McAllister, D. McDuff, Y.-G. Oh, L. Polterovich,
D.A. Salamon, G.B. Segal, R. Stern, C.H. Taubes, C. Viterbo, A.
Weinstein, E. Witten, E. Zehnder
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