Geometry & Topology Volume 8, issue 2 (2004)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author index

To appear

Other MSP journals

Invariants for Lagrangian tori

Ronald Fintushel and Ronald J Stern

Geometry & Topology 8 (2004) 947–968

DOI: 10.2140/gt.2004.8.947

Bibliography

1	D Auroux, S K Donaldson, L Katzarkov, Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves, Math. Ann. 326 (2003) 185 MR1981618
2	Y Eliashberg, L Polterovich, New applications of Luttinger’s surgery, Comment. Math. Helv. 69 (1994) 512 MR1303225
3	T Etgü, B D Park, Non-isotopic symplectic tori in the same homology class, Trans. Amer. Math. Soc. 356 (2004) 3739 MR2055752
4	R Fintushel, R J Stern, Rational blowdowns of smooth 4–manifolds, J. Differential Geom. 46 (1997) 181 MR1484044
5	R Fintushel, R J Stern, Knots, links, and 4–manifolds, Invent. Math. 134 (1998) 363 MR1650308
6	R Fintushel, R J Stern, Nonsymplectic 4–manifolds with one basic class, Pacific J. Math. 194 (2000) 325 MR1760784
7	R Fintushel, R J Stern, Symplectic surfaces in a fixed homology class, J. Differential Geom. 52 (1999) 203 MR1758295
8	R Fintushel, R J Stern, Tori in symplectic 4–manifolds, from: "Proceedings of the Casson Fest", Geom. Topol. Monogr. 7, Geom. Topol. Publ., Coventry (2004) 311 MR2172489
9	R E Gompf, A new construction of symplectic manifolds, Ann. of Math. (2) 142 (1995) 527 MR1356781
10	M Hutchings, Y J Lee, Circle-valued Morse theory, Reidemeister torsion, and Seiberg–Witten invariants of 3–manifolds, Topology 38 (1999) 861 MR1679802
11	T Mark, Torsion, TQFT, and Seiberg–Witten invariants of 3–manifolds, Geom. Topol. 6 (2002) 27 MR1885588
12	G Meng, C H Taubes, SW = Milnor torsion, Math. Res. Lett. 3 (1996) 661 MR1418579
13	J W Morgan, T S Mrowka, Z Szabó, Product formulas along T³ for Seiberg–Witten invariants, Math. Res. Lett. 4 (1997) 915 MR1492130
14	J W Morgan, Z Szabó, C H Taubes, A product formula for the Seiberg–Witten invariants and the generalized Thom conjecture, J. Differential Geom. 44 (1996) 706 MR1438191
15	L Polterovich, New invariants of totally real embedded tori and a problem in Hamiltonian mechanics, from: "Methods of Qualitative Theory and Bifurcation Theory", Gorki (1988)
16	J R Stallings, Constructions of fibred knots and links, from: "Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 2", Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc. (1978) 55 MR520522
17	C H Taubes, The Seiberg–Witten invariants and 4–manifolds with essential tori, Geom. Topol. 5 (2001) 441 MR1833751
18	V Turaev, Torsions of 3–dimensional manifolds, 208, Birkhäuser Verlag (2002) MR1958479
19	S Vidussi, Lagrangian surfaces in a fixed homology class : existence of knotted Lagrangian tori, J. Differential Geom. 74 (2006) 507 MR2269786
20	A Weinstein, Symplectic manifolds and their Lagrangian submanifolds, Advances in Math. 6 (1971) MR0286137