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Irida Altman

Irida Altman
ETH Zurich | ETH Zürich · Department of Humanities, Social and Political Sciences

Doctor of Philosophy

About

4
Publications
384
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21
Citations

Publications

Publications (4)
Article
Full-text available
For an oriented irreducible 3-manifold M with non-empty toroidal boundary, we describe how sutured Floer homology (SFH) can be used to determine all fibered classes in H^1(M). Furthermore, we show that the SFH of a balanced sutured manifold (M,g) detects which classes in H^1(M) admit a taut depth one foliation such that the only compact leaves are...
Article
Full-text available
This article is a standalone introduction to sutured Floer homology for graduate students in geometry and topology. It is divided into three parts. The first part is an introductory level exposition of Lagrangian Floer homology. The second part is a construction of Heegaard Floer homology as a special, and slightly modified, case of Lagrangian Floe...
Article
Full-text available
For closed 3-manifolds, Heegaard Floer homology is related to the Thurston norm through results due to Ozsv\'ath and Szab\'o, Ni, and Hedden. For example, given a closed 3-manifold Y, there is a bijection between vertices of the HF^+(Y) polytope carrying the group Z and the faces of the Thurston norm unit ball that correspond to fibrations of Y ove...
Article
We exhibit the first example of a knot in the three-sphere with a pair of minimal genus Seifert surfaces that can be distinguished using the sutured Floer homology of their complementary manifolds together with the Spin^c-grading. This answers a question of Juh\'asz. More precisely, we show that the Euler characteristic of the sutured Floer homolog...

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