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On combinatorial link Floer homology

- Ciprian Manolescu, P. Ozsvath, Z. Szabó, D. Thurston
- Mathematics
- 18 October 2006

Link Floer homology is an invariant for links defined using a suitable version of Lagrangian Floer homology. In an earlier paper, this invariant was given a combinatorial description with mod 2… Expand

Seiberg-Witten-Floer stable homotopy type of three-manifolds with b_1=0

- Ciprian Manolescu
- Mathematics
- 2 April 2001

Using Furuta's idea of finite dimensional approximation in Seiberg-Witten theory, we refine Seiberg-Witten Floer homology to obtain an invariant of homology 3-spheres which lives in the… Expand

On the Khovanov and knot Floer homologies of quasi-alternating links

- Ciprian Manolescu, P. Ozsvath
- Mathematics
- 23 August 2007

Quasi-alternating links are a natural generalization of alternating links. In this paper, we show that quasi-alternating links are "homologically thin" for both Khovanov homology and knot Floer… Expand

A combinatorial description of knot Floer homology

- Ciprian Manolescu, P. Ozsvath, S. Sarkar
- Mathematics
- 26 July 2006

Given a grid presentation of a knot (or link) K in the three-sphere, we describe a Heegaard diagram for the knot complement in which the Heegaard surface is a torus and all elementary domains are… Expand

Heegaard Floer homology and integer surgeries on links

- Ciprian Manolescu, P. Ozsvath
- Mathematics
- 5 November 2010

Let L be a link in an integral homology three-sphere. We give a description of the Heegaard Floer homology of integral surgeries on L in terms of some data associated to L, which we call a complete… Expand

Pin(2)-equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture

- Ciprian Manolescu
- Mathematics
- 10 March 2013

We define Pin(2)-equivariant Seiberg-Witten Floer homology for rational homology 3-spheres equipped with a spin structure. The analogue of Froyshov's correction term in this setting is an… Expand

A concordance invariant from the Floer homology of double branched covers

- Ciprian Manolescu, Brendan Owens
- Mathematics
- 2 August 2005

Ozsvath and Szabo defined an analog of the Froyshov invariant in the form of a correction term for the grading in Heegaard Floer homology. Applying this to the double cover of the 3-sphere branched… Expand

A two-variable series for knot complements

- S. Gukov, Ciprian Manolescu
- Mathematics, Physics
- 12 April 2019

The physical 3d $\mathcal{N}=2$ theory T[Y] was previously used to predict the existence of some 3-manifold invariants $\hat{Z}_{a}(q)$ that take the form of power series with integer coefficients,… Expand

Nilpotent slices, Hilbert schemes, and the Jones polynomial

- Ciprian Manolescu
- Mathematics
- 31 October 2004

Seidel and Smith have constructed an invariant of links as the Floer cohomology for two Lagrangians inside a complex affine variety Y. This variety is the intersection of a semisimple orbit with a… Expand

An unoriented skein exact triangle for knot Floer homology

- Ciprian Manolescu
- Mathematics
- 19 September 2006

Given a crossing in a planar diagram of a link in the three-sphere, we show that the knot Floer homologies of the link and its two resolutions at that crossing are related by an exact triangle. As a… Expand

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