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Results 1 - 10
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53
SINGULARITY LINKS WITH EXOTIC STEIN FILLINGS
, 2014
"... In [4], it was shown that there exist infinitely many contact Seifert fibered 3-manifolds each of which admits infinitely many exotic (homeomorphic but pairwise non-diffeomorphic) simply-connected Stein fillings. Here we extend this result to a larger set of contact Seifert fibered 3-manifolds wit ..."
Abstract
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Cited by 6 (3 self)
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In [4], it was shown that there exist infinitely many contact Seifert fibered 3-manifolds each of which admits infinitely many exotic (homeomorphic but pairwise non-diffeomorphic) simply-connected Stein fillings. Here we extend this result to a larger set of contact Seifert fibered 3-manifolds
On Stein fillings of the 3-torus T³
, 2001
"... Topological properties of Stein fillings of contact 3-manifolds diffeomorphic to the 3-torus T³ are determined. We show that for a Stein filling S of T³ the first Betti number b1(S) is two, while QS = 〈0〉. In the proof we also show that if S is Stein and ∂S is diffeomorphic to the Seifert fibered 3- ..."
Abstract
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Cited by 1 (0 self)
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Topological properties of Stein fillings of contact 3-manifolds diffeomorphic to the 3-torus T³ are determined. We show that for a Stein filling S of T³ the first Betti number b1(S) is two, while QS = 〈0〉. In the proof we also show that if S is Stein and ∂S is diffeomorphic to the Seifert fibered 3
Stein fillings of planar open books
"... Abstract. We prove that if a contact manifold (M, ξ) is supported by a planar open book, then Euler characteristic and signature of any Stein filling of (M, ξ) is bounded. We also prove a similar finiteness result for contact manifolds supported by spinal open books with planar pages. Moving beyond ..."
Abstract
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Cited by 5 (0 self)
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Abstract. We prove that if a contact manifold (M, ξ) is supported by a planar open book, then Euler characteristic and signature of any Stein filling of (M, ξ) is bounded. We also prove a similar finiteness result for contact manifolds supported by spinal open books with planar pages. Moving beyond
A NOTE ON STEIN FILLINGS OF CONTACT MANIFOLDS
"... Abstract. In this note we construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3–manifolds. 1. ..."
Abstract
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Cited by 15 (2 self)
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Abstract. In this note we construct infinitely many distinct simply connected Stein fillings of a certain infinite family of contact 3–manifolds. 1.
Contact 3-manifolds with infinitely many Stein fillings
- PROC. AMER. MATH. SOC
, 2003
"... Infinitely many contact 3-manifolds each admitting infinitely many, pairwise non-diffeomorphic Stein fillings are constructed. We use Lefschetz fibrations in our constructions and compute their first homologies to distinguish the fillings. ..."
Abstract
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Cited by 15 (1 self)
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Infinitely many contact 3-manifolds each admitting infinitely many, pairwise non-diffeomorphic Stein fillings are constructed. We use Lefschetz fibrations in our constructions and compute their first homologies to distinguish the fillings.
Cobordism, Relative Indices and Stein Fillings
, 2007
"... Dedicated with gratitude and admiration to Gennadi Henkin on the occasion of his 65th birthday. In this paper we build on the framework developed in [7, 8, 9] to obtain a more complete understanding of the gluing properties for indices of boundary value problems for the Spin C-Dirac operator with su ..."
Abstract
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Cited by 3 (0 self)
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are applied to study Stein fillability for compact, 3-dimensional, contact manifolds.
INFINITELY MANY SMALL EXOTIC STEIN FILLINGS
"... Abstract. We show that there exist infinitely many simply connected compact Stein 4-manifolds with b2 = 2 such that they are all homeomorhic but mutually non-diffeomorphic, and they are Stein fillings of the same contact 3-manifold on their boundaries. We also describe their handlebody pictures. 1. ..."
Abstract
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Cited by 4 (1 self)
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Abstract. We show that there exist infinitely many simply connected compact Stein 4-manifolds with b2 = 2 such that they are all homeomorhic but mutually non-diffeomorphic, and they are Stein fillings of the same contact 3-manifold on their boundaries. We also describe their handlebody pictures. 1.
Ozbagci: Exotic Stein fillings with arbitrary fundamental group
"... ABSTRACT. Let G be a finitely presentable group. We provide an infinite family of homeomorphic but pairwise non-diffeomorphic, symplectic but non-complex closed fourmanifolds with fundamental group G such that each member of the family admits a Lefschetz fibration of the same genus over the two-sph ..."
Abstract
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Cited by 6 (4 self)
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-sphere. As a corollary, we also show the existence of a contact three-manifold which admits infinitely many homeomorphic but pairwise non-diffeomorphic Stein fillings such that the fundamental group of each filling is isomorphic to G. Moreover, we observe that the contact three-manifold above
STEIN FILLINGS OF CONTACT 3-MANIFOLDS OBTAINED AS LEGENDRIAN SURGERIES
"... Abstract. In this note, we classify Stein fillings of an infinite family of contact 3-manifolds up to diffeomorphism. Some contact 3-manifolds in this family can be obtained by Legendrian surgeries on (S3, ξstd) along certain Legendrian 2-bridge knots. We also classify Stein fillings, up to symplect ..."
Abstract
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Cited by 2 (0 self)
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Abstract. In this note, we classify Stein fillings of an infinite family of contact 3-manifolds up to diffeomorphism. Some contact 3-manifolds in this family can be obtained by Legendrian surgeries on (S3, ξstd) along certain Legendrian 2-bridge knots. We also classify Stein fillings, up
Results 1 - 10
of
53
