On the Ozsvath-Szabo invariant of negative definite plumbed 3-manifolds

By A. N'emethi. 2003

175 citations recorded by the source corpus.

The main goal of the present article is the computation of the Heegaard Floer homology introduced by Ozsvath and Szabo for a family of plumbed rational homology 3-spheres. The main motivation is the study of the Seiberg-Witten type invariants of links of normal surface singularities.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/116f7a3b79618285842e61721c5e959a604b6fa7

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In Applied Mathematics

1. A. Stipsicz
2. John A. Baldwin
3. P. Lisca
4. Zolt'an Szab'o
5. S. Boyer
6. Liam Watson
7. Cameron McA. Gordon
8. Sergei Gukov

In Geometry and Topology

1. A. Stipsicz
2. P. Lisca
3. A. N'emethi
4. John A. Baldwin
5. Pavel Putrov
6. Sergei Gukov
7. Zolt'an Szab'o
8. Liam Watson

In Mathematical Physics

1. A. Stipsicz
2. John A. Baldwin
3. A. N'emethi
4. P. Lisca
5. Sergei Gukov
6. Liam Watson
7. Pavel Putrov
8. C. Vafa

Citations in the corpus

• Heegaard Floer homology and genus one, one‐boundary component open books (2008, background): “As Josh Greene points out, the manifolds Y (m) are all links of rational surface singularities, and hence L-spaces by a theorem of Némethi in [27].”
• GRADED ROOTS AND SINGULARITIES (2007, methodology): “Using the definition of l′ [−aDs] and the combinatorics of the continued fractions, one shows (for details, see [34], § 10) that the entries of (a1, .”
• Rational blowdowns and smoothings of surface singularities (2006, background): “3), and the link of a rational singularity is an L–space [18] (i.”
• Ozsvth-Szab invariants and tight contact 3-manifolds, III (2007, background): “Seifert fibered L-spaces can be characterized combinatorially using the results of [28, 33].”
• Lattice cohomology of normal surface singularities (2007, background): “∗A. Rényi Institute of Mathematics, 1053 Budapest, Reáltanoda u. 13-15, Hungary. e-mail: nemethi@renyi.hu; http://www.renyi.hu/~nemethi c© 2008 Research Institute for Mathematical Sciences, Kyoto University.”
• Ozsváth-Szabó invariants and tight contact three-manifolds, II (2004, background): “ar X iv :m at h/ 05 05 49 3v 2 [ m at AMS Classification 57R17; 57R57 Keywords Ozsváth–Szabó invariants, L–spaces, taut foliations, transverse foliations, transverse contact structures, tight contact structures, planar contact structures”
• On L-spaces and left-orderable fundamental groups (2011, methodology): “Third, these manifolds may be constructed as boundaries of certain plumbings, and these may in turn be studied by methods developed by Ozsváth and Szabó [31] and extended by Némethi [30].”
• Fivebranes and 3-manifold homology (2016, background): “On the other hand, the Heegaard Floer homology of plumbed 3-manifolds was studied in [60] (see also [67]) where the authors obtained combinatorial description of HF in terms of the plumbing data.”
• Knot Floer homology and rational surgeries (2005, unknown): “Here b is any cut-off, chosen”
• Links and analytic invariants of superisolated singularities (2003, background): “Let M be the link of {f = 0} (with its natural orientation), H := H1(M,Z); µ and pg be the Milnor number and the geometric genus of f .”
• The Seiberg-Witten invariants of negative definite plumbed 3-manifolds (2010, unknown): “Némethi: Rényi Institute of Mathematics, 1053 Budapest, Reáltanoda u. 13–15, Hungary; e-mail: nemethi@renyi.hu Mathematics Subject Classification (2010): Primary 32S05, 32S25, 57M27; Secondary 32S45, 32S50, 32C35, 57R57”