Geometry & Topology Volume 11, issue 1 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author Index

To Appear

Other MSP Journals

Pseudoholomorphic maps into folded symplectic four-manifolds

Jens von Bergmann

Geometry & Topology 11 (2007) 1–45

DOI: 10.2140/gt.2007.11.1

Bibliography

1	C Abbas, K Cieliebak, H Hofer, The Weinstein conjecture for planar contact structures in dimension three, Comment. Math. Helv. 80 (2005) 771 MR2182700
2	R Baykur, Kähler decomposition of 4–manifolds, Algebr. Geom. Topol. 6 (2006) 1239 MR2253445
3	B Booß-Bavnbek, K P Wojciechowski, Elliptic boundary problems for Dirac operators, Mathematics: Theory & Applications, Birkhäuser (1993) MR1233386
4	F Bourgeois, Y Eliashberg, H Hofer, K Wysocki, E Zehnder, Compactness results in symplectic field theory, Geom. Topol. 7 (2003) 799 MR2026549
5	A Cannas da Silva, Fold-Forms on Four-Folds, preprint (2002)
6	A Cannas da Silva, V Guillemin, C Woodward, On the unfolding of folded symplectic structures, Math. Res. Lett. 7 (2000) 35 MR1748286
7	D L Dragnev, Fredholm theory and transversality for noncompact pseudoholomorphic maps in symplectizations, Comm. Pure Appl. Math. 57 (2004) 726 MR2038115
8	G F D Duff, D C Spencer, Harmonic tensors on Riemannian manifolds with boundary, Ann. of Math. $(2)$ 56 (1952) 128 MR0048137
9	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
10	Y Eliashberg, S S Kim, L Polterovich, Geometry of contact transformations and domains: orderability vs. squeezing arXiv:math.SG/0511658
11	M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
12	H Hofer, K Wysocki, E Zehnder, Properties of pseudoholomorphic curves in symplectisations I: Asymptotics, Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996) 337 MR1395676
13	H Hofer, K Wysocki, E Zehnder, Properties of pseudoholomorphic curves in symplectizations III: Fredholm theory, from: "Topics in nonlinear analysis", Progr. Nonlinear Differential Equations Appl. 35, Birkhäuser (1999) 381 MR1725579
14	H Hofer, E Zehnder, Symplectic invariants and Hamiltonian dynamics, Birkhäuser Advanced Texts: Basler Lehrbücher, Birkhäuser Verlag (1994) MR1306732
15	L Hörmander, The analysis of linear partial differential operators III, Grundlehren der Mathematischen Wissenschaften 274, Springer (1985) MR781536
16	E N Ionel, T H Parker, Relative Gromov-Witten invariants, Ann. of Math. $(2)$ 157 (2003) 45 MR1954264
17	E N Ionel, T H Parker, The symplectic sum formula for Gromov–Witten invariants, Ann. of Math. $(2)$ 159 (2004) 935 MR2113018
18	R B Lockhart, R C McOwen, Elliptic differential operators on noncompact manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci. $(4)$ 12 (1985) 409 MR837256
19	J D McCarthy, J G Wolfson, Symplectic normal connect sum, Topology 33 (1994) 729 MR1293308
20	L I Nicolaescu, Generalized symplectic geometries and the index of families of elliptic problems, Mem. Amer. Math. Soc. 128 (1997) MR1388897
21	L I Nicolaescu, Geometric connections and geometric Dirac operators on contact manifolds, Differential Geom. Appl. 22 (2005) 355 MR2166128
22	M Schwarz, Cohomology operations from ${S}^1$–cobordisms in Floer homology, PhD thesis, ETH (1995)
23	R T Seeley, Singular integrals and boundary value problems, Amer. J. Math. 88 (1966) 781 MR0209915
24	C H Taubes, The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on $S^1\times B^3$, Geom. Topol. 2 (1998) 221 MR1658028
25	C H Taubes, A compendium of pseudoholomorphic beasts in $\mathbb{R}\times (S^1\times S^2)$, Geom. Topol. 6 (2002) 657 MR1943381
26	C H Taubes, Pseudoholomorphic punctured spheres in $\mathbb{R}\times (S^1\times S^2)$: moduli space parametrizations, Geom. Topol. 10 (2006) 1845 MR2240906
27	C H Taubes, Pseudoholomorphic punctured spheres in $\mathbb{R}\times (S^1\times S^2)$: properties and existence, Geom. Topol. 10 (2006) 785 MR2240906