Floer Memorial Volume

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Springer Science & Business Media, Sep 28, 1995 - Mathematics - 685 pages
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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 This volume opens with a short biography and three hitherto unpublished papers of Andreas Floer.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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Contents

and Braam
1
Floer
43
Instanton homology and Dehn surgery
77
I
99
Atiyah M
105
Austin DM and Braam
123
Bates S M
185
Braam PJ and Donaldson S
195
Fintushel R and Stern
435
Givental A
445
Hofer H and Salomon
483
Hofer H and Zehnder
525
McDuff D
539
An irrational ruled 4manifold
545
Oh Y
555
Polterovich L
575

Braam PJ and Donaldson S
257
Chaperon M
283
Cohen R L Jones J D S and Segal G
297
DellAntonio G DOnofrio B and Ekeland I
327
Eliashberg
335
Ernst K D
355
Ernst K D
408
A MayerVietoris model for DonaldsonFloer theory
587
Viterbo C
609
Weinstein
627
Witten
637
Index
679
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