Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M. Auslander, I. Reiten, and S. Smalo, Representation theory of Artin algebras, Cambridge Stud. Advanc. Math. 36, Cambridge University Press, Cambridge, 1995.
D. Benson. Representations and cohomology. I, Cambridge Stud. Advanc. Math. 30, Cambridge University Press, 1998.
L. Buhovsky, Homology of Lagrangian Submanifolds of Cotangent Bundles, Preprint, math.SG/0312265.
Ya. Eliashberg and L. Polterovich, Unknottedkness of Lagrangian surfaces in symplectic 4-manifolds, Int. Math. Res. Notices 11 (1993), 295–301.
K. Fukaya and Y.-G. Oh, Zero-loop open strings in the cotangent bundle and Morse homotopy, Asian J. Math. 1 (1998), 96–180.
K. Fukaya, Y.-G. Oh, H. Ohta, and K, Ono, Lagrangian Intersection Floer Theory — Anomaly and Obstruction, Preprint, 2000.
S. Gelfand and Yu. Manin, Methods of Homological Algebra, Springer, 1996.
A. Grothendieck, Sur la classification des fibrés holomorphes sur la sphère de Riemann, Amer. J. Math. 79 (1957), 121–138.
R. Hind, Lagrangian Isotopies in Stein Manifolds, Preprint, math.SG/0311093.
M. Kontsevich, Homological algebra of mirror symmetry, in: Proceedings of the International Congress of Mathematicians (Zürich, 1994), Birkhäuser, 1995, pp. 120–139.
B. Kreussler, Homological Mirror Symmetry in Dimension One, Preprint, math.AG/0012018.
P. Lalonde and J.-C. Sikorav, Sous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents, Commun. Math. Helv. 66 (1991), 18–33.
A. Polishchuk and E. Zaslow, Categorical mirror symmetry: the elliptic curve, Adv. Theor. Math. Phys. 2 (1998), 443–470.
A. Rudakov et al. Helices and vector bundles: Seminaire Rudakov, LMS Lecture Note Series 148, Cambridge University Press, 1990.
P. Seidel, Graded Lagrangian submanifolds, Bull. Soc. Math. France 128 (2000), 103–146.
P. Seidel, Homological Mirror Symmetry for the Quartic Surface, Preprint, math.SG/0310414, 2003.
P. Seidel, A long exact sequence for symplectic Floer cohomology, Topology 42 (2003), 1003–1063.
C. Viterbo, Functors and Computations in Floer Homology with Applications, Part II, Preprint, 1996.
C. Viterbo, Exact Lagrangian submanifolds, periodic orbits and the cohomology of free loop space, J. Differ. Geom. 47 (1997), 420–468.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science + Business Media, Inc.
About this chapter
Cite this chapter
Seidel, P. (2004). Exact Lagrangian Submanifolds in T*S n and the Graded Kronecker Quiver. In: Donaldson, S., Eliashberg, Y., Gromov, M. (eds) Different Faces of Geometry. International Mathematical Series, vol 3. Springer, Boston, MA. https://doi.org/10.1007/0-306-48658-X_8
Download citation
DOI: https://doi.org/10.1007/0-306-48658-X_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-48657-9
Online ISBN: 978-0-306-48658-6
eBook Packages: Springer Book Archive