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4-manifolds and Kirby calculus
Robert E. Gompf,András I. Stipsicz +1 more
- 01 Jan 1999
1.8K
TL;DR: In this article, the authors introduce surfaces in 4-manifolds complex surfaces and Kirby calculus, a calculus based on handelbodies and Kirby diagrams, which is used for handel bodies and kirby diagrams.
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Abstract: 4-manifolds: Introduction Surfaces in 4-manifolds Complex surfaces Kirby calculus: Handelbodies and Kirby diagrams Kirby calculus More examples Applications: Branched covers and resolutions Elliptic and Lefschetz fibrations Cobordisms, $h$-cobordisms and exotic ${\mathbb{R}}^{4,}$s Symplectic 4-manifolds Stein surfaces Appendices: Solutions Notation, important figures Bibliography Index.
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Citations
•Book
Piecewise linear structures on topological manifolds
Yuli B. Rudyak
- 28 Dec 2015
TL;DR: In this article, the authors expose the Kirby-Siebenmann results on classification of PL structures on topological manifolds and, in particular, the homotopy equivalence TOP/PL=K(Z/2.3) and the Hauptvermutung for manifolds.
32
•Posted Content
Surfaces in 4-manifolds: Concordance, Isotopy, and Surgery
TL;DR: In this article, it was shown that if two surfaces of the same genus and homology class in a simply connected 4-manifold are concordant, then surgery on one is equivalent to surgery on the other.
31
New topologically slice knots
Stefan Friedl,Peter Teichner +1 more
TL;DR: Theorem 1.3.5 was shown to be correct in this paper, where Freedman showed that all knots with trivial Alexander polynomial are topologically slice with fundamental group Z. In fact, Freedman gave a sufficient homological condition under which a knot is slice with Z[1/2.
Finite knot surgeries and Heegaard Floer homology
TL;DR: In this article, the authors investigated the question of whether any 3-manifold can be obtained by Dehn surgery on a link, but not which ones can be extracted from a knot or which knots can produce them.
Casson towers and filtrations of the smooth knot concordance group
TL;DR: In this article, it was shown that if a knot K bounds a tower of type 2;n/n/ in B 4, it is n-solvable and if K bounds such a tower with only positive (resp negative) kinks in the base-level kinky disk, then K2 Pn (resp K2 Nn ) is n−solvable.
References
Phd by thesis
TL;DR: In this paper, a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) is presented.
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Principles of Algebraic Geometry
Phillip Griffiths,Joe Harris +1 more
- 01 Jan 1978
TL;DR: In this paper, a comprehensive, self-contained treatment of complex manifold theory is presented, focusing on results applicable to projective varieties, and including discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex.
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Differential Forms in Algebraic Topology
Raoul Bott,Loring W. Tu +1 more
- 31 Jan 2013
TL;DR: This paper presents a meta-thesis on the basis of a model derived from the model developed in [Bouchut-Boyaval, M3AS (23) 2013] that states that the mode of action of the Higgs boson is determined by the modulus of the E-modulus.
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A Dissertation ON
TL;DR: In this article, the authors describe a system for the recognition of predefined situations in buildings, which is based on a hierarchy of symbols, which are also predefined, and use the perceived situations as basis for decision making in the interaction of the whole system with its environment.
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Singular points of complex hypersurfaces
John Milnor
- 01 Jan 1968
TL;DR: The Singular Points of Complex Hypersurfaces (AM-61) as mentioned in this paper is a seminal work in the area of complex hypersurfaces, and is based on as mentioned in this paper.
3K