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
Poscript PDF
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.
Poscript PDF
Four-manifold invariants from higher-rank bundles
P. B. Kronheimer
Preprint
Poscript PDF
Dehn surgery, the fundamental group and SU(2)
P. B. Kronheimer and T. S. Mrowka
Preprint
Poscript PDF
Witten's conjecture and Property P
P. B. Kronheimer and T. S. Mrowka
Preprint
Poscript PDF
Monopoles and lens space surgeries
P. B. Kronheimer, T. S. Mrowka, P. S. Ozsvath and Z. Szabo
Preprint
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)
Poscript PDF
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Unpublished and incomplete.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