dc.creator | Sa Earp H.N. | |
dc.date | 2015 | |
dc.date | 2015-06-25T12:53:10Z | |
dc.date | 2015-11-26T15:07:11Z | |
dc.date | 2015-06-25T12:53:10Z | |
dc.date | 2015-11-26T15:07:11Z | |
dc.date.accessioned | 2018-03-28T22:17:36Z | |
dc.date.available | 2018-03-28T22:17:36Z | |
dc.identifier | | |
dc.identifier | Geometry And Topology. Mathematical Sciences Publishers, v. 19, n. 1, p. 61 - 111, 2015. | |
dc.identifier | 14653060 | |
dc.identifier | 10.2140/gt.2015.19.61 | |
dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-84924311213&partnerID=40&md5=9b264d5de08ffa28ab75a8aee7af8f47 | |
dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/85436 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/85436 | |
dc.identifier | 2-s2.0-84924311213 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1257398 | |
dc.description | A concrete model for a 7–dimensional gauge theory under special holonomy is proposed, within the paradigm of Donaldson and Thomas, over the asymptotically cylindrical G2 –manifolds provided by Kovalev’s solution to a noncompact version of the Calabi conjecture. One obtains a solution to the G2 –instanton equation from the associated Hermitian Yang–Mills problem, to which the methods of Simpson et al are applied, subject to a crucial asymptotic stability assumption over the “boundary at infinity”. | |
dc.description | 19 | |
dc.description | 1 | |
dc.description | 61 | |
dc.description | 111 | |
dc.description | Baraglia, D., G2 Geometry and Integrable Systems, , PhD thesis, University of Oxford (2009) Available at arXiv:1002.1767v2 | |
dc.description | Barth, W.P., Some properties of stable rank-2 vector bundles on Pn (1977) Math. Ann, 226, pp. 125-150. , MR0429896 | |
dc.description | Wp Barth, K., Hulek, C., Peters, A., De Ven, (2004) Compact Complex Surfaces, , 2nd edition, Ergeb. Math. Grenzgeb. 4, Springer, MR2030225 | |
dc.description | Bryant, R.L., (1985) Metrics with Holonomy G2 Or Spin.7/, From: “Workshop Bonn 1984, pp. 269-277. , F Hirzebruch, J Schwermer, S Suter, editorsLecture Notes in Math. 1111, Springer, MR797426 | |
dc.description | Bryant, R.L., Salamon, S.M., On the construction of some complete metrics with exceptional holonomy (1989) Duke Math. J, 58, pp. 829-850. , MR1016448 | |
dc.description | Buttler, M., (1999) The Geometry of CR–manifolds, , PhD thesis, University of Oxford | |
dc.description | Donaldson, S.K., Anti self-dual Yang–Mills connections over complex algebraic surfaces and stable vector bundles (1985) Proc. London Math. Soc., 50, pp. 1-26. , MR765366 | |
dc.description | Donaldson, S.K., Infinite determinants, stable bundles and curvature (1987) Duke Math. J, 54, pp. 231-247. , MR885784 | |
dc.description | Donaldson, S.K., The approximation of instantons (1993) Geom. Funct. Anal, 3, pp. 179-200. , MR1209301 | |
dc.description | Donaldson, S.K., (2002) Floer Homology Groups in Yang–Mills Theory, , Cambridge Tracts in Math. 147, Cambridge Univ. Press, MR1883043 | |
dc.description | Donaldson, S.K., Kronheimer, P.B., (1990) The Geometry of Four-Manifolds, , Oxford Univ. Press, MR1079726 | |
dc.description | Eells, J., Jr, J.H., Sampson, Harmonic mappings of Riemannian manifolds (1964) Amer. J. Math, 86, pp. 109-160. , MR0164306 | |
dc.description | Fernández, M., A Gray, Riemannian manifolds with structure group G2 (1982) Ann. Mat. Pura Appl, 132, pp. 19-45. , MR696037 | |
dc.description | Gilbarg, D., Trudinger, N.S., (2001) Elliptic Partial Differential Equations of Second Order, , Springer, MR1814364 | |
dc.description | Griffiths, P., Harris, J., (1994) Principles of Algebraic Geometry, , Wiley, New York, MR1288523 | |
dc.description | Grigoryan, A., Gaussian upper bounds for the heat kernel on arbitrary manifolds (1997) J. Differential Geom, 45, pp. 33-52. , MR1443330 | |
dc.description | Guo, G.-Y., Yang–Mills fields on cylindrical manifolds and holomorphic bundles, I, Comm (1996) Math. Phys, 179, pp. 737-775. , MR1400761 | |
dc.description | Hamilton, R.S., Harmonic maps of manifolds with boundary (1975) Lecture Notes in Math, 471. , Springer, Berlin, MR0482822 | |
dc.description | Huybrechts, D., (2005) Complex Geometry, , Springer, MR2093043 | |
dc.description | Jardim, M., Stable bundles on 3–fold hypersurfaces (2007) Bull. Braz. Math. Soc, 38, pp. 649-659. , MR2371952 | |
dc.description | Jardim, M.B., Earp, H.S., Monad Constructions of Asymptotically Stable Bundles, , in preparation | |
dc.description | Joyce, D.D., (2000) Compact Manifolds with Special Holonomy, , Oxford Univ. Press, MR1787733 | |
dc.description | Kovalev, A., Twisted connected sums and special Riemannian holonomy (2003) J. Reine Angew. Math., 565, pp. 125-160. , MR2024648 | |
dc.description | Kovalev, A., From Fano threefolds to compact G2 –manifolds, from: “Strings and geometry (2004) Clay Math. Proc. 3, Amer. Math. Soc, pp. 193-202. , MR2103723 | |
dc.description | Milnor, J.W., Stasheff, J.D., (1974) Characteristic Classes, , Annals of Math. Studies 76, Princeton Univ. Press, MR0440554 | |
dc.description | Moser, J., On Harnack’s theorem for elliptic differential equations (1961) Comm. Pure Appl.Math, 14, pp. 577-591. , MR0159138 | |
dc.description | Mukai, S., On the moduli space of bundles on K3 surfaces, I, from: “Vector bundles on algebraic varieties” (1987) Tata Inst. Fund. Res. Stud. Math., 11, pp. 341-413. , Tata Inst., Bombay, MR893604 | |
dc.description | Mukai, S., (1992) Fano 3–folds, From: “Complex Projective Geometry, pp. 255-263. , G Ellingsrud, C Peskine, G Sacchiero, SA Strømme, editorsLondon Math. Soc. Lecture Note Ser. 179, Cambridge Univ. Press, MR1201387 | |
dc.description | C Okonek, M., Schneider, H., Spindler, Vector bundles on complex projective spaces (1980) Progress in Math, 3. , Birkhäuser, MR561910 | |
dc.description | Rudin, W., (1976) Principles of Mathematical Analysis, , 3rd edition, McGraw–Hill, New York, MR0385023 | |
dc.description | HN Sá Earp, G2 –instantons over asymptotically cylindrical manifolds arXiv: 1101.0880HN Sá Earp, G2 –instantons over Kovalev manifolds, II, in preparation(2009), HN Sá Earp, Instantons on G2 –manifolds, PhD thesis, Imperial College LondonSalamon, S., Riemannian geometry and holonomy groups (1989) Pitman Res. Notes Math, 201. , Longman, Harlow, UK, MR1004008 | |
dc.description | Simpson, C.T., Constructing variations of Hodge structure using Yang–Mills theory and applications to uniformization (1988) J. Amer. Math. Soc, 1, pp. 867-918. , MR944577 | |
dc.description | Taubes, C.H., Metrics, connections and gluing theorems (1996) CBMS Regional Conf. Series in Math. 89, Amer. Math. Soc, , MR1400226 | |
dc.description | Thomas, R., (1997) Gauge Theory on Calabi–Yau Manifolds, , PhD thesis, Univeristy of Oxford | |
dc.description | Walpuski, T., (2012) G2 –instantons on Generalised Kummer Constructions, , arXiv: 1109.6609v2 | |
dc.language | en | |
dc.publisher | Mathematical Sciences Publishers | |
dc.relation | Geometry and Topology | |
dc.rights | fechado | |
dc.source | Scopus | |
dc.title | G2–instantons Over Asymptotically Cylindrical Manifolds | |
dc.type | Artículos de revistas | |