The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds

Masaaki Ue

Banach Center Publications (2009)

  • Volume: 85, Issue: 1, page 121-139
  • ISSN: 0137-6934

Abstract

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We show that the Fukumoto-Furuta invariant for a rational homology 3-sphere M, which coincides with the Neumann-Siebenmann invariant for a Seifert rational homology 3-sphere, is the same as the Ozsváth-Szabó's correction term derived from the Heegaard Floer homology theory if M is a spherical 3-manifold.

How to cite

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Masaaki Ue. "The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds." Banach Center Publications 85.1 (2009): 121-139. <http://eudml.org/doc/282482>.

@article{MasaakiUe2009,
abstract = {We show that the Fukumoto-Furuta invariant for a rational homology 3-sphere M, which coincides with the Neumann-Siebenmann invariant for a Seifert rational homology 3-sphere, is the same as the Ozsváth-Szabó's correction term derived from the Heegaard Floer homology theory if M is a spherical 3-manifold.},
author = {Masaaki Ue},
journal = {Banach Center Publications},
keywords = {spherical 3-manifolds; Ozsváth–Szabó invariant; Fukumoto–Furuta invariant},
language = {eng},
number = {1},
pages = {121-139},
title = {The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds},
url = {http://eudml.org/doc/282482},
volume = {85},
year = {2009},
}

TY - JOUR
AU - Masaaki Ue
TI - The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 121
EP - 139
AB - We show that the Fukumoto-Furuta invariant for a rational homology 3-sphere M, which coincides with the Neumann-Siebenmann invariant for a Seifert rational homology 3-sphere, is the same as the Ozsváth-Szabó's correction term derived from the Heegaard Floer homology theory if M is a spherical 3-manifold.
LA - eng
KW - spherical 3-manifolds; Ozsváth–Szabó invariant; Fukumoto–Furuta invariant
UR - http://eudml.org/doc/282482
ER -

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