Max Planck Institute for Mathematics

output

20042006

most citedKobayashi-Hitchin correspondence for tame harmonic bundles and an application

90 citations

25 papers

math.GR2006

Twisted Burnside-Frobenius theory for discrete groups

Alexander Fel'shtyn, Evgenij Troitsky

For a wide class of groups including polycyclic and finitely generated polynomial growth groups it is proved that the Reidemeister number of an automorphism f is equal to the numbe…

math.DG2006

Equivariant Plateau Problems

Graham Smith

Let $(M, Q)$ be a compact, three dimensional manifold of strictly negative sectional curvature. Let $(Σ, P)$ be a compact, orientable surface of hyperbolic type (i.e. of genus at lea…

math.SP2005★ 11 cited

How large can the first eigenvalue be on a surface of genus two?

D. Jakobson, M. Levitin, N. Nadirashvili +2

Sharp upper bounds for the first eigenvalue of the Laplacian on a surface of a fixed area are known only in genera zero and one. We investigate the genus two case and conjecture th…

math.NT2005★ 2 cited

Equidistribution of geodesics on homology classes and analogues for free groups

Yiannis Petridis, Morten S. Risager

We investigate how often geodesics have homology in a fixed set of the homology lattice of a compact Riemann surface. We prove that closed geodesics are equidistributed on any sets…

math.RT2005★ 1 cited

Structure of the tensor product semigroup

Michael Kapovich, John J. Millson

We study structure of the semigroup Tens(G) consisting of triples of dominant weights (λ,μ,ν) of a complex reductive Lie group G such that the triple tensor product of the correspo…

math.AP2005★ 30 cited

Cross-shaped and Degenerate Singularities in an Unstable Elliptic Free Boundary Problem

J. Andersson, G. S. Weiss

We investigate singular and degenerate behavior of solutions of the unstable free boundary problem $Δ u = - χ_{{u > 0}} .$ First, we construct a solution that is not of class $C^{1…