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hitherto unpublished papers of Andreas Floer.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