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Book Review

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Full text of review: PDF
Book Information:

Author: Paul Seidel
Title: Fukaya categories and Picard-Lefschetz theory
Additional book information: European Mathematical Society (EMS), Zürich, 2008, vii+326 pp., ISBN 978-3-03719-063-0, {\EUR {46}}

References [Enhancements On Off] (What's this?)

  • [Arn95] V. I. Arnol′d, Some remarks on symplectic monodromy of Milnor fibrations, The Floer memorial volume, Progr. Math., vol. 133, Birkhäuser, Basel, 1995, pp. 99–103. MR 1362824
  • [Flo88] Andreas Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988), no. 3, 513–547. MR 965228
  • [FO3] K. Fukaya, Y.-G. Oh, H. Ohta, and K. Ono. Lagrangian intersection Floer theory: anomaly and obstruction. AMS/IP Studies in Advanced Mathematics, 46.1. American Mathematical Society, Providence, RI, and International Press, Somerville, MA, 2009.
  • [Gr85] M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347. MR 809718, 10.1007/BF01388806
  • [HV00] K. Hori and C. Vafa. Mirror symmetry. Preprint, arXiv:hep-th/0002222.
  • [Kon95] Maxim Kontsevich, Homological algebra of mirror symmetry, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994) Birkhäuser, Basel, 1995, pp. 120–139. MR 1403918
  • [La81] Klaus Lamotke, The topology of complex projective varieties after S. Lefschetz, Topology 20 (1981), no. 1, 15–51. MR 592569, 10.1016/0040-9383(81)90013-6
  • [MOS] Ciprian Manolescu, Peter Ozsváth, and Sucharit Sarkar, A combinatorial description of knot Floer homology, Ann. of Math. (2) 169 (2009), no. 2, 633–660. MR 2480614, 10.4007/annals.2009.169.633
  • [Mil69] J. Milnor, Morse theory, Based on lecture notes by M. Spivak and R. Wells. Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. MR 0163331
  • [OS04] Peter Ozsváth and Zoltán Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. (2) 159 (2004), no. 3, 1027–1158. MR 2113019, 10.4007/annals.2004.159.1027
  • [Sei02] Paul Seidel, Fukaya categories and deformations, Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002) Higher Ed. Press, Beijing, 2002, pp. 351–360. MR 1957046
  • [Sei03] P. Seidel. Homological mirror symmetry for the quartic surface. Preprint, arXiv:math.SG/0310414.
  • [Sei08] P. Seidel. Homological mirror symmetry for the genus two curve. Preprint, arXiv:0812.1171.

Review Information:

Reviewer: Ivan Smith
Affiliation: Cambridge, United Kingdom
Email: is200@cam.ac.uk
Journal: Bull. Amer. Math. Soc. 47 (2010), 735-742
DOI: http://dx.doi.org/10.1090/S0273-0979-10-01289-9
Published electronically: February 24, 2010
Review copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.