Kronheimer–Mrowka basic class

In mathematics, the Kronheimer–Mrowka basic classes are elements of the second cohomology [math]\displaystyle{ H^2(X;\Z) }[/math] of a simply connected, smooth 4-manifold [math]\displaystyle{ X }[/math] of simple type that determine its Donaldson polynomials. They were introduced by Peter B. Kronheimer and Tomasz S. Mrowka (1994, 1995).

References

• Kronheimer, Peter B.; Mrowka, Tomasz S. (1994), "Recurrence relations and asymptotics for four-manifold invariants", Bulletin of the American Mathematical Society, New Series 30 (2): 215–221, doi:10.1090/S0273-0979-1994-00492-6, ISSN 0002-9904 
• Kronheimer, Peter B.; Mrowka, Tomasz S. (1995), "Embedded surfaces and the structure of Donaldson's polynomial invariants", Journal of Differential Geometry 41 (3): 573–734, doi:10.4310/jdg/1214456482, ISSN 0022-040X, http://projecteuclid.org/getRecord?id=euclid.jdg/1214456482