P E T E R K R O N H E I M E R
Here are some recent papers. These are the preprint versions: I have not updated the references in these papers, and the published versions (where they exist) are slightly different.
They are available either as compressed PostScript files (uncompress them with gunzip), or as PDF files. Let me know if you have any problems downloading or printing these.
| Knot homology groups from instantons
P. B. Kronheimer and T. S. Mrowka Preprint |
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| A hyperkahler structure on the cotangent bundle of a complex
Lie group
P. B. Kronheimer This preprint is sixteen years old (golly), and predates my first use of TeX. I recently finished typing up a LaTeX version, as I still receive occasional requests for a copy. |
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| Four-manifold invariants from higher-rank bundles
P. B. Kronheimer Preprint |
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| Dehn surgery, the fundamental group and SU(2)
P. B. Kronheimer and T. S. Mrowka Preprint |
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| Witten's conjecture and Property P
P. B. Kronheimer and T. S. Mrowka Preprint |
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| Monopoles and lens space surgeries
P. B. Kronheimer, T. S. Mrowka, P. S. Ozsvath and Z. Szabo Preprint |
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| Embedded surfaces and gauge theory in three and
four dimensions
P. B. Kronheimer A survery article, in Surveys in Differential Geometry |
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| Minimal genus in S1 x M3
P. B. Kronheimer Inventiones Mathematicae |
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| Scalar curvature and the Thurston norm
P. B. Kronheimer and T. S. Mrowka Mathematics Research Letters |
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| Some non-trivial families of symplectic structures P. B. Kronheimer Preprint |
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| Monopoles and contact structures P. B. Kronheimer and T. S. Mrowka Inventiones Mathematicae |
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| The genus of embedded surfaces in the projective plane P. B. Kronheimer and T. S. Mrowka Math. Res. Lett. Vol. 1 (1994) |
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| Embedded surfaces and the structure of Donaldson's
polynomial invariants P. B. Kronheimer and T. S. Mrowka J. Differential Geom. Vol. 41 (1995) |
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| Recurrence relations and asymptotics
for four-manifold invariants P. B. Kronheimer and T. S. Mrowka Bull. Amer. Math. Soc. Vol. 29 (1994) |
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| Gauge theory for embedded surfaces, I P. B. Kronheimer and T. S. Mrowka Topology Vol. 32 (1993) |
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| Gauge theory for embedded surfaces, II P. B. Kronheimer and T. S. Mrowka Topology Vol. 34 (1995) |
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MISCELLANEA
| The structure of Donaldson's invariants for
four-manifolds not of simple type P. B. Kronheimer and T. S. Mrowka Unpublished and incomplete. |
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Peter Kronheimer