nLab Kronheimer-Mrowka basic class

Redirected from "Kronheimer-Mrowka basic classes".

Contents

Idea

The Kronheimer-Mrowka basic classes are cohomology classes of the second cohomology of a simply connected 4-manifold generating its Donaldson polynomials in Donaldson theory, introduced by Peter Kronheimer and Tomasz Mrowka.

Peter Kronheimer, Tomasz Mrowka, 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
Peter Kronheimer, Tomasz Mrowka, 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