Gluing 4-manifolds along ∑(2, 3, 11)

András I. Stipsicz; Zoltán Szabó

doi:10.1016/s0166-8641(99)00086-3

Gluing 4-manifolds along ∑(2, 3, 11)

András I. Stipsicz, Zoltán Szabó

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A product formula for Seiberg-Witten invariants is proved in the case when the 4-manifold under examination is split along the Seifert fibered homology sphere ∑(2,3, 11). As an application of the formula homotopy K3 surfaces not containing any of the nuclei N(2)_p,q are constructed. As another application we study embeddings of ∑(2, 3, 11) into homotopy K3 surfaces.

Original language	English (US)
Pages (from-to)	293-304
Number of pages	12
Journal	Topology and its Applications
Volume	106
Issue number	3
DOIs	https://doi.org/10.1016/s0166-8641(99)00086-3
State	Published - 2000

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

4-manifolds
Gauge theory

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10.1016/s0166-8641(99)00086-3

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title = "Gluing 4-manifolds along ∑(2, 3, 11)",

abstract = "A product formula for Seiberg-Witten invariants is proved in the case when the 4-manifold under examination is split along the Seifert fibered homology sphere ∑(2,3, 11). As an application of the formula homotopy K3 surfaces not containing any of the nuclei N(2)p,q are constructed. As another application we study embeddings of ∑(2, 3, 11) into homotopy K3 surfaces.",

keywords = "4-manifolds, Gauge theory",

author = "Stipsicz, \{Andr{\'a}s I.\} and Zolt{\'a}n Szab{\'o}",

note = "Funding Information: It is a pleasure to thank P{\'e}ter Ozsv{\'a}th for many helpful discussions. The authors were partially supported by OTKA, and the first author by the Magyary Zolt{\'a}n Foundation. The second author was partially support by NSF.",

year = "2000",

doi = "10.1016/s0166-8641(99)00086-3",

language = "English (US)",

volume = "106",

pages = "293--304",

journal = "Topology and its Applications",

issn = "0016-660X",

publisher = "Elsevier B.V.",

number = "3",

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TY - JOUR

T1 - Gluing 4-manifolds along ∑(2, 3, 11)

AU - Stipsicz, András I.

AU - Szabó, Zoltán

N1 - Funding Information: It is a pleasure to thank Péter Ozsváth for many helpful discussions. The authors were partially supported by OTKA, and the first author by the Magyary Zoltán Foundation. The second author was partially support by NSF.

PY - 2000

Y1 - 2000

N2 - A product formula for Seiberg-Witten invariants is proved in the case when the 4-manifold under examination is split along the Seifert fibered homology sphere ∑(2,3, 11). As an application of the formula homotopy K3 surfaces not containing any of the nuclei N(2)p,q are constructed. As another application we study embeddings of ∑(2, 3, 11) into homotopy K3 surfaces.

AB - A product formula for Seiberg-Witten invariants is proved in the case when the 4-manifold under examination is split along the Seifert fibered homology sphere ∑(2,3, 11). As an application of the formula homotopy K3 surfaces not containing any of the nuclei N(2)p,q are constructed. As another application we study embeddings of ∑(2, 3, 11) into homotopy K3 surfaces.

KW - 4-manifolds

KW - Gauge theory

UR - https://www.scopus.com/pages/publications/0002376127

UR - https://www.scopus.com/inward/citedby.url?scp=0002376127&partnerID=8YFLogxK

U2 - 10.1016/s0166-8641(99)00086-3

DO - 10.1016/s0166-8641(99)00086-3

M3 - Article

AN - SCOPUS:0002376127

SN - 0016-660X

VL - 106

SP - 293

EP - 304

JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

Gluing 4-manifolds along ∑(2, 3, 11)

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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