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MORSE THEORY AND HYPERKAHLER KIRWAN SURJECTIVITY FOR HIGGS BUNDLES
MORSE THEORY HYPERKAHLER KIRWAN SURJECTIVITY HIGGS BUNDLES
2015/12/17
This paper uses Morse-theoretic techniques to compute the equivariant Betti numbers of the space of semistable rank two degree zero Higgs bundles over a compact Riemann surface, a method in the spirit...
We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs (A, Φ), where A is a unitary connection on a rank 2 hermitian vector bundle over a compact Riemann surface, and Φ is ...
Infinite dimensional Morse theory for geodesics on Finsler manifolds
Infinite dimensional Morse theory geodesics Finsler manifolds
2015/3/18
Infinite dimensional Morse theory for geodesics on Finsler manifolds.
Discrete Morse theory and the consecutive pattern poset
consecutive pattern discrete Morse theory factor order Mobius function permutation patters posets
2011/9/13
Abstract: We use discrete Morse theory to provide another proof of Bernini, Ferrari, and Steingrimson's formula for the Mobius function of the consecutive pattern poset. In addition, we are able to de...
On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds
Morse theory negative gradient dynamics Hilbert manifold
2011/2/21
This paper proves some results on negative gradient dynamics of Morse functions on Hilbert manifolds. It contains the compactness of ow lines, manifold structures of certain compacti-
ed moduli spa...
Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
singular perturbation nondegenerate critical points Morse theory
2011/2/28
The aim of this paper is to extend the Morse theory for geodesics to the conical manifolds. In a previous paper [15] we dened these manifolds as submanifolds of Rn with a nite number of conical sing...