Morse Theory and the Topology of Configuration Space
W.D.McGlinn (University of Notre Dame,U of Notre Dame),, L.O'Raifeartaigh (Dublin Institute for Advanced Studies), S. Sen (Trinity, College, Dublin) R.D. Sorkin (Syracuse University)
TL;DR
This paper computes the homology groups of configuration spaces of framed 3D point particles with annihilation, focusing on cases with up to two particles and an antiparticle, revealing topological properties of such systems.
Contribution
It introduces the computation of homology groups for specific configuration spaces involving annihilation and particles with framing, a novel topological analysis.
Findings
Homology groups computed for configurations with up to two particles and an antiparticle.
Topological structure of configuration spaces with annihilation characterized.
New insights into the topology of particle systems with annihilation included.
Abstract
The first and second homology groups are computed for configuration spaces of framed three-dimensional point particles with annihilation included, when up to two particles and an antiparticle are present.
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