From Stein to Weinstein and Back: Symplectic Geometry of Affine Complex Manifolds

By Kai Cieliebak, Y. Eliashberg. 2012

415 citations recorded by the source corpus.

Subfields: Clinical Psychology, Experimental and Cognitive Psychology, Philosophy

View Paper: https://www.semanticscholar.org/paper/6b17934b973e82179326a17a1f3f9fccb2f83b22

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Clinical Psychology

1. Emmy Murphy
2. Roger Casals
3. Otto van Koert
4. F. Presas
5. Jean Gutt
6. Chris Wendl
7. A. Oancea
8. Y. Eliashberg

In Experimental and Cognitive Psychology

1. Emmy Murphy
2. Roger Casals
3. Otto van Koert
4. F. Presas
5. Jean Gutt
6. Chris Wendl
7. A. Oancea
8. Y. Eliashberg

In Philosophy

1. Emmy Murphy
2. Roger Casals
3. Otto van Koert
4. F. Presas
5. Jean Gutt
6. Chris Wendl
7. A. Oancea
8. Y. Eliashberg

Citations in the corpus

• Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors (2017, background): “We recall their definition, referring to [12] for further details.”
• $S^1$-equivariant symplectic homology and linearized contact homology (2012, background): “An important class of examples is that of Liouville domains [27, 55, 19], for which the primitive of ω is globally defined.”
• The positive equivariant symplectic homology as an invariant for some contact manifolds (2015, background): “20 (see for instance [9]) A Liouville manifold is an exact symplectic manifold (W,ω,X), where the vector field X is an expanding Liouville vector field, i.”
• Lecture notes on stabilization of contact open books (2010, background): “Eliashberg’s fundamental result then allows deformation into an honest Stein filling, [6].”
• Lectures on Holomorphic Curves in Symplectic and Contact Geometry (2010, background): “Much more on Stein manifolds can be found in the monographs [OS04] and [CE12].”
• Legendrian fronts for affine varieties (2016, background): “1 implies that the Stein manifolds X3 1,b are flexible, and since they are diffeomorphic to S3 × R3 with isomorphic complex tangent bundles, they must be Stein deformation equivalent by the h–principle [17].”
• Making cobordisms symplectic (2015, methodology): “Let Γst be a Legendrian stabilization, see [18, 5, 3], of the 0-section Γ in the 3-dimensional contact manifold (V1 := U1×[−1, 1], dz+udt).”
• Geometric criteria for overtwistedness (2015, methodology): “The concept of loose Legendrians was first studied in [33], and see also [11, 34].”
• Symplectic homology and the Eilenberg-Steenrod axioms (2015, background): “flexible Stein domains [25] as well as certain non-flexible Stein domains [60, 2, 62, 64].”