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Donaldson invariants of non-simple type 4-manifolds

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dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-20T18:43:54Z
dc.date.available2023-06-20T18:43:54Z
dc.date.issued2002
dc.description.abstractWe give the shape of the Donaldson invariants of a general 4-manifold with b1 = 0 and b+ > 1. The resulting expression involves modular forms and matches the physical predictions.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21273
dc.identifier.doi10.1016/S0040-9383(00)00048-3
dc.identifier.issn0166-8641
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0040938300000483
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58460
dc.issue.number4
dc.journal.titleTopology and its Applications
dc.language.isoeng
dc.page.final765
dc.page.initial745
dc.publisherElsevier Science
dc.rights.accessRightsrestricted access
dc.subject.cdu515.1
dc.subject.keyword4-manifolds
dc.subject.keywordDonaldson invariants
dc.subject.keywordModular forms.
dc.subject.ucmTopología
dc.subject.unesco1210 Topología
dc.titleDonaldson invariants of non-simple type 4-manifolds
dc.typejournal article
dc.volume.number41
dcterms.referencesK. Chandrasekharan, Elliptic functions, Grundlehren 281,Springer Verlag, 1985. R. 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. R. Fintushel and R. J. Stern, Immersed spheres in 4-manifolds and the immersed Thom conjecture, Turkish Jour.Math. 19 1995, 145-157. L. Gottsche and Don Zagier, Jacobi forms and the structure of Donaldson invariants for 4-manifolds with b+ = 1,Selecta Mathematica, New Series 4 1998, 69-115. 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 D. F. Lawden, Elliptic functions and applications, Applied Math. Sci. 80, Springer-Verlag, 1989. G. Moore and E. Witten, Integration over the u-plane in Donaldson theory, Adv. Theor. Math. Physics, 1 1998,298. V. Muñoz, Fukaya-Floer homology of × S1 and applications,math.DG/9804081. V. Muñoz, Basic classes for four-manifolds not of simple type, math.DG/9811089. V. Muñoz, Higher type adjunction inequalities for Donaldson invariants, math.DG/9901046.
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