Irida AltmanETH Zurich | ETH Zürich · Department of Humanities, Social and Political Sciences
Irida Altman
Doctor of Philosophy
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Publications
Publications (4)
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...
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...
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...
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...