Publication: A note on fundamental groups of symplectic torus complements in 4-manifolds
dc.contributor.coauthor | Park, B. Doug | |
dc.contributor.department | Department of Mathematics | |
dc.contributor.kuauthor | Etgü, Tolga | |
dc.contributor.schoolcollegeinstitute | College of Sciences | |
dc.date.accessioned | 2024-11-09T23:44:17Z | |
dc.date.issued | 2008 | |
dc.description.abstract | Previously, we constructed an infinite family of knotted symplectic tori representing a fixed homology class in the symplectic four-manifold E(n) K, which is obtained by Fintushel-Stern knot surgery using a nontrivial fibered knot K in S-3, and distinguished the (smooth) isotopy classes of these tori by indirectly computing the Seiberg-Witten invariants of their complements. In this note, we compute the fundamental groups of the complements of these knotted tori and show that for each nontrivial fibered knot K these groups constitute an infinite collection of nonisomorphic groups. We also review some other constructions of symplectic tori in 4-manifolds and show that the fundamental groups of the complements do not distinguish homologous tori in those cases. | |
dc.description.indexedby | WOS | |
dc.description.indexedby | Scopus | |
dc.description.issue | 9 | |
dc.description.openaccess | NO | |
dc.description.publisherscope | International | |
dc.description.sponsoredbyTubitakEu | N/A | |
dc.description.sponsorship | GEBIP | |
dc.description.sponsorship | Turkish Academy of Sciences | |
dc.description.sponsorship | CAREER | |
dc.description.sponsorship | Scientific and Technological Research Council of Turkey | |
dc.description.sponsorship | CFI | |
dc.description.sponsorship | NSERC | |
dc.description.sponsorship | OIT We would like to thank Hans U. Boden, Steven Boyer, Olivier Collin, Andrew Nicas and Stefano Vidussi for their indispensable help in writing the proofs of Lemmas 3.5 and 3.6. Most of this work was completed while the first author was a postdoctoral fellow at McMaster University. The figures were produced by the second author using Adobe (R) Illustrator (R) Version 10. The first author was partially supported by a GEBIP grant of the Turkish Academy of Sciences and a CAREER grant of the Scientific and Technological Research Council of Turkey. The second author was partially supported by CFI, NSERC and OIT grants. | |
dc.description.volume | 17 | |
dc.identifier.doi | 10.1142/S0218216508006567 | |
dc.identifier.eissn | 1793-6527 | |
dc.identifier.issn | 0218-2165 | |
dc.identifier.scopus | 2-s2.0-58149481351 | |
dc.identifier.uri | https://doi.org/10.1142/S0218216508006567 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14288/13639 | |
dc.identifier.wos | 259544100003 | |
dc.keywords | 4-manifold | |
dc.keywords | Symplectic | |
dc.keywords | Isotopy | |
dc.keywords | Link surgery | |
dc.keywords | Fiber sum | |
dc.keywords | Fundamental group rational elliptic-surfaces | |
dc.keywords | 3-manifolds | |
dc.keywords | Homology | |
dc.keywords | Surgery | |
dc.language.iso | eng | |
dc.publisher | World Scientific Publ Co Pte Ltd | |
dc.relation.ispartof | Journal of Knot Theory and Its Ramifications | |
dc.subject | Mathematics | |
dc.title | A note on fundamental groups of symplectic torus complements in 4-manifolds | |
dc.type | Journal Article | |
dspace.entity.type | Publication | |
local.contributor.kuauthor | Etgü, Tolga | |
local.publication.orgunit1 | College of Sciences | |
local.publication.orgunit2 | Department of Mathematics | |
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