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Book Review
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Book Information
Author(s):
Paul Seidel
Title:
Fukaya categories and Picard-Lefschetz theory
Additional book information:
European Mathematical Society (EMS), Zürich,
2008,
vii+326 pp.,
{\EUR {46}},
ISBN 978-3-03719-063-0
References:
-
- [Arn95]
- V. I. Arnol'd. ``Some remarks on symplectic monodromy of Milnor fibrations'', in The Floer Memorial Volume, (Hofer, Taubes, Weinstein, Zehnder, eds.). Birkhäuser, 1995. MR 1362824 (96m:32043)
- [Flo88]
- A. Floer. Morse theory for Lagrangian intersections. J. Diff. Geom. 28:513-547 (1988). MR 965228 (90f:58058)
- [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. 82:307-47 (1985). MR 809718 (87j:53053)
- [HV00]
- K. Hori and C. Vafa. Mirror symmetry. Preprint, arXiv:hep-th/0002222.
- [Kon95]
- M. Kontsevich. Homological algebra of mirror symmetry. Proceedings of the International Congress of Mathematicians, Zurich, 1994. Birkhäuser, 1995. MR 1403918 (97f:32040)
- [La81]
- K. Lamotke. The topology of complex projective varieties after S. Lefschetz. Topology 20:15-51 (1981). MR 592569 (81m:14019)
- [MOS]
- C. Manolescu, P. Ozsváth and S. Sarkar. A combinatorial description of knot Floer homology. Ann. of Math. 169:663-660 (2009). MR 2480614 (2009k:57047)
- [Mil69]
- J. Milnor. Morse theory. Princeton University Press, 1969. MR 0163331 (29:634)
- [OS04]
- P. Ozsváth and Z. Szabó. Holomorphic disks and topological invariants for closed three-manifolds. Ann. of Math. 159:1027-1158 (2004). MR 2113019 (2006b:57016)
- [Sei02]
- P. Seidel. ``Fukaya categories and deformations'', in Proceedings of the International Congress of Mathematicians (Beijing, 2002). Higher Ed. Press, 2002. MR 1957046 (2004a:53110)
- [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.
Additional Information:
Reviewer(s):
Ivan
Smith
Affiliation:
Cambridge, United Kingdom
Email:
is200@cam.ac.uk
Review Information:
Journal:
Bull. Amer. Math. Soc.
47
(2010),
735-742.
MSC
(2000):
Primary 53D37, 53D40
DOI:
10.1090/S0273-0979-10-01289-9
PII:
S 0273-0979(10)01289-9
Posted:
February 24, 2010
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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