On universal relations in gauge theory
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- by Selman Akbulut PDF
- Trans. Amer. Math. Soc. 348 (1996), 1329-1355 Request permission
Abstract:
In this paper we study the algebraic topology of gauge group, and as a corollary we deduce some universal relations among Donaldson polynomials of smooth 4-manifolds.References
- S. Akbulut, Torsion in gauge theory, Turkish Math. 19 (1995), 167β177.
- S. Akbulut, T. Mrowka and Y. Ruan, Torsion classes and a universal constraint on Donaldson invariants for odd manifolds, Trans. Amer. Math. Soc. 347 (1995), 63β76.
- M. F. Atiyah and I. M. Singer, The index of elliptic operators. IV, Ann. of Math. (2) 93 (1971), 119β138. MR 279833, DOI 10.2307/1970756
- S. K. Donaldson, Connections, cohomology and the intersection forms of $4$-manifolds, J. Differential Geom. 24 (1986), no.Β 3, 275β341. MR 868974
- S. K. Donaldson and P. B. Kronheimer, The geometry of four-manifolds, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1990. Oxford Science Publications. MR 1079726
- A. Dold and H. Whitney, Classification of oriented sphere bundles over a $4$-complex, Ann. of Math. (2) 69 (1959), 667β677. MR 123331, DOI 10.2307/1970030
- Ronald Fintushel and Ronald J. Stern, $2$-torsion instanton invariants, J. Amer. Math. Soc. 6 (1993), no.Β 2, 299β339. MR 1168958, DOI 10.1090/S0894-0347-1993-1168958-8
- R. Friedman and J. Morgan, Smooth four manifolds and complex surfaces, A series of Modern Surveys in Mathematics no. 27, Springer-Verlag, 1995.
- I. M. James, The topology of Stiefel manifolds, London Mathematical Society Lecture Note Series, No. 24, Cambridge University Press, Cambridge-New York-Melbourne, 1976. MR 0431239
- Gregor Masbaum, On the cohomology of the classifying space of the gauge group over some $4$-complexes, Bull. Soc. Math. France 119 (1991), no.Β 1, 1β31 (English, with French summary). MR 1101938
- Kai-Cheong Mong, Some polynomials on the blow-up of $\textbf {P}_2(\textbf {C})$, J. Reine Angew. Math. 419 (1991), 67β78. MR 1116918, DOI 10.1515/crll.1991.419.67
- Robert E. Mosher and Martin C. Tangora, Cohomology operations and applications in homotopy theory, Harper & Row, Publishers, New York-London, 1968. MR 0226634
- Emery Thomas, Seminar on fiber spaces, Lecture Notes in Mathematics, vol. 13, Springer-Verlag, Berlin-New York, 1966. Lectures delivered in 1964 in Berkeley and 1965 in ZΓΌrich; Berkeley notes by J. F. McClendon. MR 0203733
- Hirosi Toda, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies, No. 49, Princeton University Press, Princeton, N.J., 1962. MR 0143217
Additional Information
- Selman Akbulut
- MR Author ID: 23925
- Email: akbulut@math.msu.edu
- Received by editor(s): November 1, 1994
- Additional Notes: Partially supported by the N.S.F
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 1329-1355
- MSC (1991): Primary 57R19; Secondary 58D27
- DOI: https://doi.org/10.1090/S0002-9947-96-01394-3
- MathSciNet review: 1307997