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 This volume opens with a short biography and three hitherto unpublished papers of Andreas Floer.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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We consider the relation between the theory of monopoles on R3 and the analogous problem on a manifold M obtained from R3 by forming the connected sum with a compact manifold M. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Pure Appl, Princeton University Press, Proof Let, Andreas Floer, London Math, Spectral Property, Springer Verlag, Annals of Math, Introduction Let, Lecture Note Series, Applying Proposition, Donaldson Proposition, Ernst Lemma, Mathematical Notes, Paris Cedex, Pure Mathematics, Russian Math New!
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We consider the relation between the theory of monopoles on R3 and the analogous problem on a manifold M obtained from R3 by forming the connected sum with a compact manifold M. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Pure Appl, Princeton University Press, Proof Let, Andreas Floer, London Math, Spectral Property, Springer Verlag, Annals of Math, Introduction Let, Lecture Note Series, Applying Proposition, Donaldson Proposition, Ernst Lemma, Mathematical Notes, Paris Cedex, Pure Mathematics, Russian Math New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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- The Geometry of Four-Manifolds (Oxford Mathematical Monographs) by S. K. Donaldson on page 324, and page 408
- Partial Differential Relations (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Mikhael Gromov on page 543
- Differential Forms (Dover Books on Mathematics) by Henri Cartan on page 182
- Mathematical Heritage of Hermann Weyl (Proceedings of Symposia in Pure Mathematics; v. 48) by R. O. Wells on page 96
- Topics in Harmonic Analysis on Homogeneous Spaces (Progress in Mathematics) by Sigurdur Helgason in Back Matter
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- The Breadth of Symplectic and Poisson Geometry: Festschrift in Honor of Alan Weinstein (Progress in Mathematics) by Jerrold E. Marsden on 4 pages
- Contact and Symplectic Geometry (Publications of the Newton Institute) by Charles Benedict Thomas on 4 pages
- Floer Homology, Gauge Theory, and Low Dimensional Topology: Proceedings of the Clay Mathematics Institute 2004 Summer School, Alfred Renyi Institute of Mathematics, Budapest, Hungary, June 5-26, 2004 (Clay Mathematics Proceedings, Vol. 5) by David A. Ellwood on page 26, page 68, and page 69
- Gromov's Compactness Theorem for Pseude-holomorphic Curves (Progress in Mathematics) by Christoph Hummel in Back Matter (1), and Back Matter (2)
- Symplectic Geometry and Topology (Ias/Park City Mathematics Series, V. 7) by Yakov Eliashberg on page 97, and page 228
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