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Perspectives in Analysis, Geometry, and Topology

On the Occasion of the 60th Birthday of Oleg Viro

  • Book
  • © 2012

Overview

Editors:
  1. Ilia Itenberg

    1. Université Pierre et Marie Curie and Institut Universitaire de France Institut de Mathématiques de Jussieu, Paris, France

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  2. Burglind Jöricke

    1. Institut des Hautes Études Scientifiques Le Bois-Marie, Bures-sur-Yvette, France

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  3. Mikael Passare

    1. Department of Mathematics, Stockholm University, Stockholm, Sweden

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  • Focuses on recent developments and trends that bridge analysis, topology, and geometry
  • Chronicles a groundbreaking symposium
  • Highlights possible new research directions
  • Invited articles written by distinguished researchers
  • Of interest to graduate students and researchers
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 296)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xxxi
    Download chapter PDF

  2. Exotic Structures on Smooth Four-Manifolds

    • Selman Akbulut
    Pages 1-17

  3. Rational Linking and Contact Geometry

    • Kenneth Baker, John Etnyre
    Pages 19-37

  4. Regularity of Plurisubharmonic Upper Envelopes in Big Cohomology Classes

    • Robert Berman, Jean-Pierre Demailly
    Pages 39-66

  5. Toward a Generalized Shapiro and Shapiro Conjecture

    • Alex Degtyarev
    Pages 67-79

  6. On the Number of Components of a Complete Intersection of Real Quadrics

    • Alex Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov
    Pages 81-107

  7. Rational SFT, Linearized Legendrian Contact Homology, and Lagrangian Floer Cohomology

    • Tobias Ekholm
    Pages 109-145

  8. Topology of Spaces of S-Immersions

    • Yakov Eliashberg, Nikolai Mishachev
    Pages 147-167

  9. On Continuity of Quasimorphisms for Symplectic Maps

    • Michael Entov, Leonid Polterovich, Pierre Py, Michael Khanevsky
    Pages 169-197

  10. On Symplectic Caps

    • David T. Gay, András I. Stipsicz
    Pages 199-212

  11. Cauchy–Pompeiu-Type Formulas for \(\bar{\partial }\) on Affine Algebraic Riemann Surfaces and Some Applications

    • Gennadi M. Henkin
    Pages 213-236

  12. Remarks on Khovanov Homology and the Potts Model

    • Louis H. Kauffman
    Pages 237-262

  13. Algebraic Equations and Convex Bodies

    • Kiumars Kaveh, Askold Khovanskii
    Pages 263-282

  14. Floer Homology on the Extended Moduli Space

    • Ciprian Manolescu, Christopher Woodward
    Pages 283-329

  15. Projective Algebraicity of Minimal Compactifications of Complex-Hyperbolic Space Forms of Finite Volume

    • Ngaiming Mok
    Pages 331-354

  16. Some Examples of Real Algebraic and Real Pseudoholomorphic Curves

    • Stepan Yu. Orevkov
    Pages 355-387

  17. Schur–Weyl-Type Duality for Quantized gl(1|1), the Burau Representation of Braid Groups, and Invariants of Tangled Graphs

    • Nicolai Reshetikhin, Catharina Stroppel, Ben Webster
    Pages 389-401

  18. Khovanov Homology Theories and Their Applications

    • Alexander Shumakovitch
    Pages 403-430

  19. Tropical and Algebraic Curves with Multiple Points

    • Eugenii Shustin
    Pages 431-464
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Keywords

About this book

The contributions in this volume—dedicated to the work and mathematical interests of Oleg Viro on the occasion of his 60th birthday—are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap among analysis, geometry, and topology. The encounters among these three fields are widespread and often provide impetus for major breakthroughs in applications.

Topics covered include new developments in low-dimensional topology related to invariants of links and three- and four-dimensional manifolds and the recent advances made in algebraic, complex, symplectic, and tropical geometry.

This collection is intended for graduate students and researchers in analysis, geometry, and topology, especially those whose area of study applies to two or more of these fields.

Editors and Affiliations

  • Université Pierre et Marie Curie and Institut Universitaire de France Institut de Mathématiques de Jussieu, Paris, France

    Ilia Itenberg

  • Institut des Hautes Études Scientifiques Le Bois-Marie, Bures-sur-Yvette, France

    Burglind Jöricke

  • Department of Mathematics, Stockholm University, Stockholm, Sweden

    Mikael Passare

Bibliographic Information

  • Book Title: Perspectives in Analysis, Geometry, and Topology

  • Book Subtitle: On the Occasion of the 60th Birthday of Oleg Viro

  • Editors: Ilia Itenberg, Burglind Jöricke, Mikael Passare

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-0-8176-8277-4

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2012

  • Hardcover ISBN: 978-0-8176-8276-7Published: 13 December 2011

  • eBook ISBN: 978-0-8176-8277-4Published: 14 December 2011

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XXXI, 464

  • Topics: Geometry, Global Analysis and Analysis on Manifolds, Topology, Analysis

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