The signature of smoothings of complex surface singularities

1978 ◽  
Vol 232 (1) ◽  
pp. 85-98 ◽  
Author(s):  
Alan H. Durfee
Keyword(s):  
Complex Surface ◽  
Surface Singularities

scholarly journals EXPLICIT HORIZONTAL OPEN BOOKS ON SOME PLUMBINGS

2006 ◽  
Vol 17 (09) ◽  
pp. 1013-1031 ◽  
Author(s):  
TOLGA ETGÜ ◽  
BURAK OZBAGCI
Keyword(s):  
Contact Structure ◽  
Complex Surface ◽  
Contact Structures ◽  
Open Book ◽  
Open Books ◽  
Tight Contact ◽  
Weinstein Conjecture ◽  
Circle Bundles ◽  
Surface Singularities

We describe explicit open books on arbitrary plumbings of oriented circle bundles over closed oriented surfaces. We show that, for a non-positive plumbing, the open book we construct is horizontal and the corresponding compatible contact structure is also horizontal and Stein fillable. In particular, on some Seifert fibered 3-manifolds we describe open books which are horizontal with respect to their plumbing description. As another application we describe horizontal open books isomorphic to Milnor open books for some complex surface singularities. Moreover we give examples of tight contact 3-manifolds supported by planar open books. As a consequence, the Weinstein conjecture holds for these tight contact structures [1].

scholarly journals SYMPLECTIC 4-MANIFOLDS VIA SYMPLECTIC SURGERY ON COMPLEX SURFACE SINGULARITIES

2015 ◽  
Vol 52 (4) ◽  
pp. 1213-1223
Author(s):  
HEESANG PARK ◽  
ANDRAS I. STIPSICZ
Keyword(s):  
Complex Surface ◽  
Surface Singularities

scholarly journals Complex surface singularities from the combinatorial point of view

1995 ◽  
Vol 66 (3) ◽  
pp. 251-265 ◽  
Author(s):  
Francisco Larrión ◽  
José Seade
Keyword(s):  
Complex Surface ◽  
Point Of View ◽  
Surface Singularities ◽  
Combinatorial Point

scholarly journals Bi-Lipschitz geometry of complex surface singularities

2008 ◽  
Vol 139 (1) ◽  
pp. 259-267 ◽  
Author(s):  
Lev Birbrair ◽  
Alexandre Fernandes ◽  
Walter D. Neumann
Keyword(s):  
Complex Surface ◽  
Surface Singularities

scholarly journals Complex surface singularities with integral homology sphere links

2005 ◽  
Vol 9 (2) ◽  
pp. 757-811 ◽  
Author(s):  
Walter D Neumann ◽  
Jonathan Wahl
Keyword(s):  
Complex Surface ◽  
Homology Sphere ◽  
Integral Homology ◽  
Surface Singularities

scholarly journals Complex surface singularities and degenerations of compact complex curves

2010 ◽  
Vol 43 (2) ◽  
Author(s):  
Tadashi Tomaru
Keyword(s):  
Complex Surface ◽  
Complex Curves ◽  
Normal Surfaces ◽  
Surface Singularities

AbstractSince 15 years ago, I have been studying some relations between complex normal surfaces ([

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