Donaldson invariants for connected sums along surfaces of genus 2
| dc.contributor.author | Muñoz, Vicente | |
| dc.date.accessioned | 2023-06-20T18:43:57Z | |
| dc.date.available | 2023-06-20T18:43:57Z | |
| dc.date.issued | 2000 | |
| dc.description.abstract | We prove a gluing formula for the Donaldson invariants of the connected sum of two fourmanifolds along a surface of genus 2. We also prove a finite type condition for manifolds containing a surface of genus 2, self-intersection zero and representing an odd homology class. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21284 | |
| dc.identifier.doi | 10.1016/S0166-8641(99)00107-8 | |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0166864199001078 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58463 | |
| dc.issue.number | 3 | |
| dc.journal.title | Topology and its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 232 | |
| dc.page.initial | 215 | |
| dc.publisher | Elsevier Science | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Donaldson invariants | |
| dc.subject.keyword | Floer homology | |
| dc.subject.keyword | Four-manifolds | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Donaldson invariants for connected sums along surfaces of genus 2 | |
| dc.type | journal article | |
| dc.volume.number | 107 | |
| dcterms.references | P.J. Braam, Floer homology groups for homology three-spheres, Advances in Math. 88 (1991)131–144. P. Braam, S.K. Donaldson, Fukaya–Floer homology and gluing formulae for polynomial invariants, in: The Floer Memorial Volume, Progress in Mathematics, Vol. 133, 1994, pp. 257–281. S.K. Donaldson, On the work of Andreas Floer, Jahresber. Deutsch. Math. Verein. 95 (1993)103–120. S.K. Donaldson, Floer homology and algebraic geometry, in: Vector Bundles in Algebraic Geometry, London Math. Soc.Lecture Notes Series, Vol. 208, Cambridge University Press,Cambridge, 1995, pp. 119–138. S. Dostoglou, D. Salamon, Self-dual instantons and holomorphic curves, Ann. of Math. 139 (1994) 581–640. R. Friedman, J.W. Morgan, Smooth Four-Manifolds and Complex Surfaces, Springer, Berlin,1994. D. Kotschick, SO.3/ invariants for 4-manifolds with b C 2 D 1, Proc. Lond. Math. Soc. 63 (1991)426–448. D. Kotschick, J.W. Morgan, SO.3/ invariants for 4-manifolds with b C 2 D 1 II, J. Diff. Geom. 39 (1994) 433–456. P.B. Kronheimer, T.S. Mrowka, Embedded surfaces and the structure of Donaldson’s polynomial invariants, J. Diff. Geom. 41 (1995) 573–734. P.B. Kronheimer, T.S. Mrowka, The structure of Donaldson’s invariants for fourmanifolds not of simple type, Available at http://www.math.harvard.edu/HTML/Individual/Peter_Kronheimer.html J.W. Morgan, Z. Szabó, Embedded genus 2 surfaces in four-manifolds, Duke Math. J. 89 (1997)577–602. J.W. Morgan, Z. Szabó, C.H. Taubes, A product formula for the Seiberg–Witten invariants and the generalized Thom conjecture, J. Diff. Geom. 44 (1996) 706–788. V. Muñoz, Oxford D. Phil. Thesis, 1996. V. Muñoz, Wall-crossing formulae for algebraic surfaces with positive irregularity, J. London Math. Soc., to appear. V. Muñoz, B.-L. Wang, Seiberg–Witten–Floer homology of a surface times a circle, Preprint,1999. S. Piunikhin, D. Salamon, M. Schwarz, Symplectic Floer–Donaldson theory and quantum cohomology, in: C.B. Thomas (Ed.), Contact and Symplectic Geometry, Publ. Newton Institute,Vol. 8, Cambridge University Press, 1996, pp. 171–200. Z. Qin, Moduli of stable sheaves on ruled surfaces and their Picard groups, J. Reine Angew Math. 433 (1992) 201–219. Z. Szabó, Irreducible four-manifolds with small Euler characteristics, Topology 35 (1996) 411–426. M. Thaddeus, Conformal field theory and the cohomology of the moduli space of stable bundles,J. Diff. Geom. 35 (1992)131–150. | |
| dspace.entity.type | Publication |
