TY - JOUR
T1 - Holomorphic triangles and invariants for smooth four-manifolds
AU - Ozsváth, Peter
AU - Szabó, Zoltán
N1 - Funding Information:
∗Corresponding author. E-mail addresses: [email protected] (P. Ozsváth), [email protected] (Z. Szabó). 1Supported by NSF Grant No. DMS 9971950 and a Sloan Research Fellowship. 2Supported by NSF Grant No. DMS 0107792 and a Packard Fellowship.
PY - 2006/6/1
Y1 - 2006/6/1
N2 - In earlier articles, the authors introduced invariants for closed, oriented three-manifolds, defined using a variant of Lagrangian Floer homology in the symmetric products of Riemann surfaces. The aim of this article is to introduce invariants of oriented, smooth four-manifolds, built using these Floer homology groups. This four-dimensional theory also endows the corresponding three-dimensional theories with additional structure: an absolute grading of certain of its Floer homology groups.
AB - In earlier articles, the authors introduced invariants for closed, oriented three-manifolds, defined using a variant of Lagrangian Floer homology in the symmetric products of Riemann surfaces. The aim of this article is to introduce invariants of oriented, smooth four-manifolds, built using these Floer homology groups. This four-dimensional theory also endows the corresponding three-dimensional theories with additional structure: an absolute grading of certain of its Floer homology groups.
KW - Floer homology
KW - Four-manifolds
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U2 - 10.1016/j.aim.2005.03.014
DO - 10.1016/j.aim.2005.03.014
M3 - Article
AN - SCOPUS:33646130158
SN - 0001-8708
VL - 202
SP - 326
EP - 400
JO - Advances in Mathematics
JF - Advances in Mathematics
IS - 2
ER -