Geometry & Topology Volume 12, issue 3 (2008)

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Lagrangian matching invariants for fibred four-manifolds: II

Tim Perutz

Geometry & Topology 12 (2008) 1461–1542

DOI: 10.2140/gt.2008.12.1461

Bibliography

1	D Auroux, S K Donaldson, L Katzarkov, Singular Lefschetz pencils, Geom. Topol. 9 (2005) 1043 MR2140998
2	A Bertram, M Thaddeus, On the quantum cohomology of a symmetric product of an algebraic curve, Duke Math. J. 108 (2001) 329 MR1833394
3	R Bott, The stable homotopy of the classical groups, Ann. of Math. $(2)$ 70 (1959) 313 MR0110104
4	S K Donaldson, Topological field theories and formulae of Casson and Meng–Taubes, from: "Proceedings of the Kirbyfest (Berkeley, CA, 1998)", Geom. Topol. Monogr. 2 (1999) 87 MR1734402
5	S K Donaldson, Floer homology groups in Yang–Mills theory, Cambridge Tracts in Mathematics 147, Cambridge University Press (2002) MR1883043
6	S Donaldson, I Smith, Lefschetz pencils and the canonical class for symplectic four-manifolds, Topology 42 (2003) 743 MR1958528
7	C J Earle, J Eells, A fibre bundle description of Teichmüller theory, J. Differential Geometry 3 (1969) 19 MR0276999
8	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
9	A Floer, The unregularized gradient flow of the symplectic action, Comm. Pure Appl. Math. 41 (1988) 775 MR948771
10	A Floer, H Hofer, Coherent orientations for periodic orbit problems in symplectic geometry, Math. Z. 212 (1993) 13 MR1200162
11	A Floer, H Hofer, D Salamon, Transversality in elliptic Morse theory for the symplectic action, Duke Math. J. 80 (1995) 251 MR1360618
12	K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory: anomaly and obstruction, book manuscript (2000)
13	R E Gompf, The topology of symplectic manifolds, Turkish J. Math. 25 (2001) 43 MR1829078
14	F Hirzebruch, H Hopf, Felder von Flächenelementen in $4$–dimensionalen Mannigfaltigkeiten, Math. Ann. 136 (1958) 156 MR0100844
15	H Hofer, D A Salamon, Floer homology and Novikov rings, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 483 MR1362838
16	P Kronheimer, T Mrowka, Monopoles and contact structures, Invent. Math. 130 (1997) 209 MR1474156
17	P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. $(2)$ 165 (2007) 457 MR2299739
18	L Lazzarini, Existence of a somewhere injective pseudo-holomorphic disc, Geom. Funct. Anal. 10 (2000) 829 MR1791142
19	Y J Lee, Heegaard splittings and Seiberg–Witten monopoles, from: "Geometry and topology of manifolds", Fields Inst. Commun. 47, Amer. Math. Soc. (2005) 173 MR2189932
20	Y J Lee, Reidemeister torsion in Floer–Novikov theory and counting pseudo-holomorphic tori. I, J. Symplectic Geom. 3 (2005) 221 MR2199540
21	D McDuff, D Salamon, $J$–holomorphic curves and symplectic topology, Amer. Math. Soc. Colloquium Publ. 52, Amer. Math. Soc. (2004) MR2045629
22	J Moser, On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1965) 286 MR0182927
23	T Perutz, Surface-fibrations, four-manifolds, and symplectic Floer homology, PhD thesis, Imperial College London (2005)
24	T Perutz, Lagrangian matching invariants for fibred four-manifolds. I, Geom. Topol. 11 (2007) 759 MR2302502
25	S Piunikhin, D Salamon, M Schwarz, Symplectic Floer–Donaldson theory and quantum cohomology, from: "Contact and symplectic geometry (Cambridge, 1994)", Publ. Newton Inst. 8, Cambridge Univ. Press (1996) 171 MR1432464
26	L Pontrjagin, A classification of mappings of the three-dimensional complex into the two-dimensional sphere, Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941) 331 MR0004780
27	M Poźniak, Floer homology, Novikov rings and clean intersections, PhD thesis, University of Warwick (1994)
28	D A Salamon, Seiberg-Witten invariants of mapping tori, symplectic fixed points, and Lefschetz numbers, from: "Proceedings of 6th Gökova Geometry-Topology Conference", Turkish J. Math. 23 (1999) 117 MR1701642
29	M Schwarz, Cohomology operations from $S^1$–cobordisms in Floer homology, PhD thesis, ETH-Zürich (1995)
30	G Segal, The definition of conformal field theory, from: "Topology, geometry and quantum field theory", London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 421 MR2079383
31	P Seidel, The symplectic Floer homology of a Dehn twist, Math. Res. Lett. 3 (1996) 829 MR1426539
32	P Seidel, Floer homology and the symplectic isotopy problem, PhD thesis, University of Oxford (1997)
33	P Seidel, Symplectic Floer homology and the mapping class group, Pacific J. Math. 206 (2002) 219 MR1924827
34	P Seidel, A long exact sequence for symplectic Floer cohomology, Topology 42 (2003) 1003 MR1978046
35	P Seidel, Fukaya categories and Picard–Lefschetz theory, book manuscript available at http://www-math.mit.edu/ seidel (2006)
36	V de Silva, Products in the symplectic Floer homology of Lagrangian intersections, PhD thesis, University of Oxford (1999)
37	I Smith, Serre–Taubes duality for pseudoholomorphic curves, Topology 42 (2003) 931 MR1978044
38	C H Taubes, Seiberg–Witten invariants and pseudo-holomorphic subvarieties for self-dual, harmonic $2$–forms, Geom. Topol. 3 (1999) 167 MR1697181
39	M Usher, Vortices and a TQFT for Lefschetz fibrations on $4$–manifolds, Algebr. Geom. Topol. 6 (2006) 1677 MR2263047
40	R Ye, Gromov's compactness theorem for pseudo holomorphic curves, Trans. Amer. Math. Soc. 342 (1994) 671 MR1176088