nLab Peter Kronheimer

Peter Benedict Kronheimer

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Selected writings

Textbook on 4-manifolds:

• Simon Donaldson, Peter Kronheimer: The Geometry of Four-Manifolds (1990, revised 1997), Oxford University Press and Claredon Press, [oup:52942, doi:10.1093/oso/9780198535539.001.0001, ISBN:978-0198502692, ISSN:0964-9174]

Introducing the Kronheimer-Mrowka basic class:

• 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

Related entries

• ALE space, ADE classification

category: people