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.
Poscript PDF
Exact triangles for SO(3) instanton homology of webs
P. B. Kronheimer and T. S. Mrowka
Preprint.
Poscript PDF
Monopoles and Taub-NUT metrics
P. B. Kronheimer
This is a scan of my M.Sc. thesis from 1985. This work was never published.
Poscript PDF
Gauge theory and Rasmussen's invariant
P. B. Kronheimer and T. S. Mrowka
Journal of Topology
Poscript PDF
Filtrations on instanton homology
P. B. Kronheimer and T. S. Mrowka
Quantum Topology
Poscript PDF
Khovanov homology is an unknot-detector
P. B. Kronheimer and T. S. Mrowka
Publ. Math. Inst. Hautes √Čtudes Sci.
Poscript PDF
Instanton Floer homology and the Alexander polynomial
P. B. Kronheimer and T. S. Mrowka
Algebraic and Geometric Topology
Poscript PDF
Knots, sutures and excision
P. B. Kronheimer and T. S. Mrowka
Journal of Differential Geometry
Poscript PDF
Knot homology groups from instantons
P. B. Kronheimer and T. S. Mrowka
Journal of Topology
Poscript PDF
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.
Poscript PDF
Four-manifold invariants from higher-rank bundles
P. B. Kronheimer
Journal of Differential Geometry
Poscript PDF
Dehn surgery, the fundamental group and SU(2)
P. B. Kronheimer and T. S. Mrowka
Mathematics Research Letters
Poscript PDF
Witten's conjecture and Property P
P. B. Kronheimer and T. S. Mrowka
Geometry and Topology
Poscript PDF
Monopoles and lens space surgeries
P. B. Kronheimer, T. S. Mrowka, P. S. Ozsvath and Z. Szabo
Annals of Mathematics
Poscript PDF
Embedded surfaces and gauge theory in three and four dimensions
P. B. Kronheimer
A survery article, in Surveys in Differential Geometry
Poscript PDF
Minimal genus in S1 x M3
P. B. Kronheimer
Inventiones Mathematicae
Poscript PDF
Scalar curvature and the Thurston norm
P. B. Kronheimer and T. S. Mrowka
Mathematics Research Letters
Poscript PDF
Some non-trivial families of symplectic structures
P. B. Kronheimer
Preprint
Poscript PDF
Monopoles and contact structures
P. B. Kronheimer and T. S. Mrowka
Inventiones Mathematicae
Poscript PDF
The genus of embedded surfaces in the projective plane
P. B. Kronheimer and T. S. Mrowka
Math. Res. Lett. Vol. 1 (1994)
Poscript PDF
Embedded surfaces and the structure of Donaldson's polynomial invariants
P. B. Kronheimer and T. S. Mrowka
J. Differential Geom. Vol. 41 (1995)
Poscript PDF
Recurrence relations and asymptotics for four-manifold invariants
P. B. Kronheimer and T. S. Mrowka
Bull. Amer. Math. Soc. Vol. 29 (1994)
Poscript PDF
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)
Poscript PDF

MISCELLANEA

The structure of Donaldson's invariants for four-manifolds not of simple type
P. B. Kronheimer and T. S. Mrowka
Unpublished and incomplete.
Poscript PDF


Peter Kronheimer