On the Topology of the Reduced Classical Configuration Space of Lattice QCD
Abstract
We study the topological structure of the quotient of SU(3)× SU(3) by diagonal conjugation. This is the simplest nontrivial example for the classical reduced configuration space of chromodynamics on a spatial lattice in the Hamiltonian approach. We construct a cell complex structure of the quotient in such a way that the closures of strata are subcomplexes and we compute the homology and cohomology groups of the strata and their closures.
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