The Integer Valued SU(3) Casson Invariant for Brieskorn spheres
Geometric Topology
2021-09-29 v1 Differential Geometry
Abstract
We develop techniques for computing the integer valued SU(3) Casson invariant. Our method involves resolving the singularities in the flat moduli space using a twisting perturbation and analyzing its effect on the topology of the perturbed flat moduli space. These techniques, together with Bott-Morse theory and the splitting principle for spectral flow, are applied to calculate the invariant for all Brieskorn homology spheres.
Keywords
Cite
@article{arxiv.math/0311173,
title = {The Integer Valued SU(3) Casson Invariant for Brieskorn spheres},
author = {Hans U. Boden and Christopher M. Herald and Paul A. Kirk},
journal= {arXiv preprint arXiv:math/0311173},
year = {2021}
}
Comments
50 pages, 3 figures