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Basic classes for four-manifolds not of simple type

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dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-20T18:44:00Z
dc.date.available2023-06-20T18:44:00Z
dc.date.issued2000
dc.description.abstractWe extend the notion of basic classes (for the Donaldson invariants) to 4-manifolds with b+ > 1 which are (potentially) not of simple type or satisfy b1 > 0.We also give a structure theorem for the Donaldson invariants of 4-manifolds with b+ > 1, b1 > 0 and of strong simple type.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGES
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21286
dc.identifier.issn1019-8385
dc.identifier.officialurlhttp://arxiv.org/pdf/math/9811089v2.pdf
dc.identifier.relatedurlhttp://arxiv.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58464
dc.issue.number3
dc.journal.titleCommunications in Analysis and Geometry
dc.language.isoeng
dc.page.final670
dc.page.initial653
dc.publisherInternational Press
dc.relation.projectIDPB97-1095.
dc.rights.accessRightsopen access
dc.subject.cdu515.1
dc.subject.keyword4-manifolds
dc.subject.keywordDonaldson invariants
dc.subject.keywordFukaya-Floer homology.
dc.subject.ucmTopología
dc.subject.unesco1210 Topología
dc.titleBasic classes for four-manifolds not of simple type
dc.typejournal article
dc.volume.number8
dcterms.referencesR. Fintushel and R. J. Stern, Donaldson invariants of 4-manifolds with simple type, Jour. Diff.Geometry, 42 1995, 577-633. R. Fintushel and R. J. Stern, The blow-up formula for Donaldson invariants, Annals of Math.143 1996, 529-546. P. B. Kronheimer and T. S. Mrowka, Embedded surfaces and the structure of Donaldson’s polynomial invariants, Jour. Differential Geometry, 41 1995, 573-734. P. B. Kronheimer and T. S. Mrowka, The structure of Donaldson’s invariants for four-manifolds not of simple type, http://www.math.harvard.edu/HTML/Individuals/Peter Kronheimer.html V. Muñoz, Fukaya-Floer homology of × S1 and applications, math.DG/9804081. A. Stipsicz, Ph. D. Thesis, Rutgers University, NJ,Computations of Donaldson invariants viacut and paste techniques, 1994.
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