In mathematics, the Kronheimer–Mrowka basic classes are elements of the second cohomology ${\displaystyle H^{2}(X;\mathbb {Z} )}$ of a simply connected, smooth 4-manifold ${\displaystyle X}$ 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, arXiv: math/9404232, doi: 10.1090/S0273-0979-1994-00492-6, ISSN  0002-9904, MR  1246469
• 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, MR  1338483