© 2012

Perspectives in Analysis, Geometry, and Topology

On the Occasion of the 60th Birthday of Oleg Viro

  • Ilia Itenberg
  • Burglind Jöricke
  • Mikael Passare


  • 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


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

Table of contents

  1. Front Matter
    Pages i-xxxi
  2. Selman Akbulut
    Pages 1-17
  3. Kenneth Baker, John Etnyre
    Pages 19-37
  4. Robert Berman, Jean-Pierre Demailly
    Pages 39-66
  5. Alex Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov
    Pages 81-107
  6. Yakov Eliashberg, Nikolai Mishachev
    Pages 147-167
  7. Michael Entov, Leonid Polterovich, Pierre Py, Michael Khanevsky
    Pages 169-197
  8. David T. Gay, András I. Stipsicz
    Pages 199-212
  9. Louis H. Kauffman
    Pages 237-262
  10. Kiumars Kaveh, Askold Khovanskii
    Pages 263-282
  11. Ciprian Manolescu, Christopher Woodward
    Pages 283-329
  12. Alexander Shumakovitch
    Pages 403-430

About this book


A Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry, and Topology was held at Stockholm University in May 2008. The choice of subjects of the Symposium and present volume was motivated by the work and mathematical interests of Oleg Viro to whom the Symposium and this volume are dedicated. As a professor of Uppsala University, Viro has made invaluable contributions to Swedish research by complementing the country's longstanding tradition in analysis with his own renowned expertise in geometry and topology.

Consolidating in a single volume a major portion of the recent, impressive encounters among the fields of analysis, geometry, and topology would be too ambitious. The collection of papers in this work still should give some sense of the development of the fields and their interactions. The topics presented by leading experts in their respective fields include: algebraic geometry, in particular, real algebraic geometry, differential geometry, symplectic and contact geometry, complex analysis, three- and four-dimensional manifolds, and invariants of links.

Also included in the book is the opening speech of the Symposium by Lennart Carleson on the Unity of Mathematics.


S. Akbulut

K. Baker

R. Berman

A. Degtyarev

J.-P. Demailly

T. Ekholm

Y. Eliashberg

M. Entov

J. Etnyre

D. Gay

G. Henkin

I. Itenberg

L. Kauffman

K. Kaveh

M. Khanevsky

V. Kharlamov

A. Khovanskii

C. Manolescu

N. Mishachev

N. Mok

S. Orevkov

L. Polterovich

P. Py

N. Reshetikhin

A. Shumakovitch

E. Shustin

A. Stipsicz

C. Stroppel

B. Webster

C. Woodward


4-manifolds Cauchy--Pompeiu type formulas Floer homology Khovanov homology Picard number 1 Shapiro conjecture exotic structures non-holonomic Moser theorem

Editors and affiliations

  • Ilia Itenberg
    • 1
  • Burglind Jöricke
    • 2
  • Mikael Passare
    • 3
  1. 1.Université Pierre et Marie Curie and Institut Universitaire de France Institut de Mathématiques de JussieuParisFrance
  2. 2.Institut des Hautes Études Scientifiques Le Bois-MarieBures-sur-YvetteFrance
  3. 3.Department of MathematicsStockholm UniversityStockholmSweden

Bibliographic information