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Product formulae for Ozsváth–Szabó 4–manifold invariants

Stanislav Jabuka and Thomas E Mark

Geometry and Topology 12 (2008) 1557–1651

DOI: 10.2140/gt.2008.12.1557

Bibliography
1 D Eisenbud, Commutative algebra with a view toward algebraic geometry, Graduate Texts in Math. 150, Springer (1995) MR1322960
2 R E Gompf, A I Stipsicz, 4–manifolds and Kirby calculus, Graduate Studies in Math. 20, Amer. Math. Soc. (1999) MR1707327
3 S Jabuka, T Mark, Heegaard Floer homology of a surfaces times a circle, Adv. Math. 218 (2008) 728–761
4 P Kronheimer, T Mrowka, Monopoles and three-manifolds, New Mathematical Monographs 10, Cambridge Univ. Press (2007) MR2388043
5 T J Li, A Liu, General wall crossing formula, Math. Res. Lett. 2 (1995) 797–810 MR1362971
6 T Mark, Knotted surfaces in 4–manifolds arXiv:0801.4367
7 J W Morgan, T S Mrowka, Z Szabó, Product formulas along T3 for Seiberg–Witten invariants, Math. Res. Lett. 4 (1997) 915–929 MR1492130
8 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) 706–788 MR1438191
9 P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179–261 MR1957829
10 P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58–116 MR2065507
11 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. (2) 159 (2004) 1159–1245 MR2113020
12 P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. (2) 159 (2004) 1027–1158 MR2113019
13 P Ozsváth, Z Szabó, Holomorphic triangle invariants and the topology of symplectic four-manifolds, Duke Math. J. 121 (2004) 1–34 MR2031164
14 P Ozsváth, Z Szabó, Heegaard Floer homology and contact structures, Duke Math. J. 129 (2005) 39–61 MR2153455
15 P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326–400 MR2222356
16 P Ozsváth, Z Szabó, An introduction to Heegaard Floer homology, from: "Floer homology, gauge theory, and low-dimensional topology", Clay Math. Proc. 5, Amer. Math. Soc. (2006) 3–27 MR2249247
17 B D Park, A gluing formula for the Seiberg–Witten invariant along T3, Michigan Math. J. 50 (2002) 593–611 MR1935154
18 J A Rasmussen, Floer homology of surgeries on two-bridge knots, Algebr. Geom. Topol. 2 (2002) 757–789 MR1928176
19 R J Stern, Will we ever classify simply-connected smooth 4–manifolds?, from: "Floer homology, gauge theory, and low-dimensional topology", Clay Math. Proc. 5, Amer. Math. Soc. (2006) 225–239 MR2249255
20 C H Taubes, GR=SW: counting curves and connections, J. Differential Geom. 52 (1999) 453–609 MR1761081
21 C H Taubes, The Seiberg–Witten invariants and 4–manifolds with essential tori, Geom. Topol. 5 (2001) 441–519 MR1833751
22 E Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994) 769–796 MR1306021