publication . Preprint . Article . 2011

Smooth embeddings with Stein surface images

Robert E. Gompf;
Open Access English
  • Published: 09 Oct 2011
Abstract
Comment: 26 pages, 1 figure. Version 2 has minor stylistic changes for clarity, remark expanded at end of Section 4; accepted for publication by the Journal of Topology
Subjects
arXiv: Mathematics::Complex VariablesMathematics::Symplectic GeometryMathematics::Geometric Topology
free text keywords: Mathematics - Geometric Topology, Mathematics - Complex Variables, 32T05, 57R17, 32Q28, Geometry and Topology, Mathematical analysis, Holomorphic function, Topology, Polynomial Expression, Stein manifold, Homotopy, Manifold, Mathematics
Funded by
NSF| Stein surfaces, 4-manifolds and symplectic topology
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0603958
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
,
NSF| 4-Manifold topology and related topics
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 1005304
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
35 references, page 1 of 3

[A] S. Akbulut, A fake compact contractible 4-manifold, J. Diff. Geom. 33 (1991), 335-356. [OpenAIRE]

[AM] S. Akbulut and R. Matveyev, A convex decomposition theorem for four-manifolds, Internat. Math. Res. Notices 1998 (1998), 371-381.

[AY] S. Akbulut and K. Yasui, Cork twisting exotic Stein 4-manifolds, arXiv:1102.3049 [BG] Zˇ. Biˇzaca and R. Gompf, Elliptic surfaces and some simple exotic R4's, J. Diff. Geom. 43 (1996), 458-504.

[B] E. Brieskorn, Beispiele zur Differentialtopologie von singul¨arita¨ten, Invent. Math. 2 (1966), 1-14.

[C] A. Casson, Three lectures on new infinite constructions in 4-dimensional manifolds, (notes prepared by L. Guillou), A la Recherche de la Topologie Perdue, Progress in Mathematics vol.62, Birkh¨auser, 1986, pp. 201-244.

[CH] A. Casson, and J. Harer, Some homology lens spaces which bound rational homology balls, Pacific J. Math. 96 (1981), 23-36. [OpenAIRE]

[CE] K. Cieliebak and Y. Eliashberg, Symplectic Geometry of Stein manifolds, book in preparation [CFHS] C. Curtis, M. Freedman, W. Hsiang and R. Stong, A decomposition theorem for h-cobordant smooth simply connected compact 4-manifolds, Invent. Math. 123 (1996), 343-348.

[DF] S. DeMichelis and M. Freedman, Uncountably many exotic R4's in standard 4-space, J. Diff. Geom. 35 (1992), 219-254.

[D] S. Donaldson, An application of gauge theory to four dimensional topology, J. Diff. Geom. 18 (1983), 279-315.

[EO] W. Ebeling and C. Okonek, Donaldson invariants, monodromy groups, and singularities, Int. J. Math. 1 (1990), 233-250.

[E1] Y. Eliashberg, Classification of overtwisted contact structures on 3-manifolds, Invent. Math. 98 (1989), 623-637. [OpenAIRE]

[E2] Y. Eliashberg, Topological characterization of Stein manifolds of dimension > 2, Int. J. of Math. 1 (1990), 29-46.

[E3] Y. Eliashberg, Filling by holomorphic discs and its applications, Geometry of Low-dimensional Manifolds: 2, Proc. Durham Symp. 1989, London Math. Soc. Lecture Notes, 151, Cambridge Univ. Press, 1990, 45-67.

[E4] Y. Eliashberg, Contact 3-manifolds twenty years since J. Martinet's work, Ann. Inst. Fourier 42 (1992), 165-192. [OpenAIRE]

[E5] Y. Eliashberg, A few remarks about symplectic filling, Geom. Topol. 8 (2004), 277-293. [OpenAIRE]

35 references, page 1 of 3
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue