P E T E R K R O N H E I M E R
Here are some of my 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 PDF files, or for older files also compressed PostScript. (Uncompress those with gunzip.) Let me know if you have any problems downloading or printing these.
Tait colorings, and an instanton homology for webs and foams
P. B. Kronheimer and T. S. Mrowka Preprint. |
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Exact triangles for SO(3) instanton homology of webs
P. B. Kronheimer and T. S. Mrowka Preprint. |
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Monopoles and Taub-NUT metrics
P. B. Kronheimer This is a scan of my M.Sc. thesis from 1985. This work was never published. |
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Gauge theory and Rasmussen's invariant
P. B. Kronheimer and T. S. Mrowka Journal of Topology |
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Filtrations on instanton homology
P. B. Kronheimer and T. S. Mrowka Quantum Topology |
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Khovanov homology is an unknot-detector
P. B. Kronheimer and T. S. Mrowka Publ. Math. Inst. Hautes Études Sci. |
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Instanton Floer homology and the Alexander polynomial
P. B. Kronheimer and T. S. Mrowka Algebraic and Geometric Topology |
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Knots, sutures and excision
P. B. Kronheimer and T. S. Mrowka Journal of Differential Geometry |
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Knot homology groups from instantons
P. B. Kronheimer and T. S. Mrowka Journal of Topology |
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A hyperkahler structure on the cotangent bundle of a complex
Lie group
P. B. Kronheimer This preprint is from 1988, and predates my first use of TeX. I typed up a LaTeX version in 2004, because I was still receive occasional requests for a copy. This paper was never published. |
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Four-manifold invariants from higher-rank bundles
P. B. Kronheimer Journal of Differential Geometry |
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Dehn surgery, the fundamental group and SU(2)
P. B. Kronheimer and T. S. Mrowka Mathematics Research Letters |
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Witten's conjecture and Property P
P. B. Kronheimer and T. S. Mrowka Geometry and Topology |
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Monopoles and lens space surgeries
P. B. Kronheimer, T. S. Mrowka, P. S. Ozsvath and Z. Szabo Annals of Mathematics |
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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 S^{1} x M^{3}
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