Master spaces and the coupling principle: From Geometric Invariant Theory to Gauge Theory

Communications in Mathematical Physics

Volumn 205, Issue 2, 1999, Pages 437-458

  Okonek, Christian ^a   Teleman, Andrei ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033245043     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050685     Document Type: Article

References (23)

1. [B] Bradlow, S. B.: Special metrics and stability for holomorphic bundles with global sections. J. Diff. Geom. 33, 169-214 (1991)
2. [BDW] Bertram, A., Daskalopoulos, G., Wentworth, R.: Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians. J.A.M.S. 9 (2), 529-571 (1996)
3. [BrDW] Bradlow, S., Daskalopoulos, G., Wentworth, R.: Birational equivalences of vortex moduli. Topology 35 (3), 731-748 (1996)
4. 2(ℂ) actions. Trans. Am. Math. Soc. 279, 773-800 (1983)
5. [DH] Dolgachev, I., Hu, Y.: Variation of geometric invariant theory quotients. Publ. Math. I.H.E.S. 87, 5-56 (1998)
6. [FL] Feehan, P., Leness, T.: PU(2) monopoles I: Regularity, Uhlenbeck compactness, and transversality. Preprint, 1997
7. [G] Gieseker, D.: On the moduli of vector bundles on an algebraic surface. Ann. Math. 106, 45-60 (1977)
8. [H] Hitchin, N.: The self-duality equations on a Riemann surface. Proc. London Math. Soc. (3) 55, 59-126 (1987)
9. [HL1] Huybrechts, D., Lehn, M.: Stable pairs on curves and surfaces. J. Alg. Geom. 4, 67-104 (1995)
10. [HL2] Huybrechts, D., Lehn, M.: Framed modules and their moduli. Internat. J. Math. 6, 297-324 (1995)
11. [LT] Lübke, M., Teleman, A.: The Kobayashi-Hitchin correspondence. Singapore: World Scientific Publishing Co., 1995
12. [M] Maruyama, M.: Moduli of stable sheaves I. J. Math. Kyoto Univ. 17, 91-126 (1977)
13. [MFK] Mumford, D., Fogarty, J., Kirwan, F.: Geometric invariant theory. Berlin-Heidelberg-New York: Springer Verlag, 1994
14. [OT1] Okonek, Ch., Teleman, A.: Quaternionic monopoles. Commun. Math. Phys. 180, 363-388 (1996)
15. [OT2] Okonek, Ch., Teleman, A.: Recent developments in Seiberg-Witten Theory and Complex Geometry. Preprint, Zürich 1996, to appear
16. [OST] Okonek, Ch., Schmitt, A. ,Teleman, A.: Master spaces for stable pairs. Topology 38 No 1, 117-139 (1998)
17. [R] Reid, M.: What is a flip? Preprint
18. [S] Schmitt, A.: Projective moduli for Hitchin pairs. Internat. J. Math. 9, 107-118 (1998)
19. [T1] Teleman, A.: Non-abelian Seiberg-Witten theory. Habilitationsschrift, Zürich, 1996
20. [T2] Teleman, A.: Non-abelian Seiberg-Witten theory and stable oriented pairs. Int. J. Math. 8 (4), 507-535 (1997)
21. [T3] Teleman, A.: Moduli spaces of PU(2)-monopoles. Asian J. Math., to appear
22. [Th1] Thaddeus, M.: Stable pairs, linear systems and the Verlinde formula. Invent. Math. 117, 181-205 (1994)
23. [Th2] Thaddeus, M.: Geometric invariant theory and flips. J. AMS 9, 691-725 (1996)