Deformation of a 3 -> 3 Pachner move relation capturing exotic second homologies
Mathematical Physics
2012-01-24 v1 Algebraic Topology
math.MP
Quantum Algebra
Abstract
A new relation in Grassmann algebra is presented, corresponding naturally to the four-dimensional Pachner move 3 -> 3. This relation is obtained by deforming a known relation associated with an exotic chain complex built for a triangulated four-manifold. The possible deformation terms turn out to correspond to second (middle) homologies of one more exotic complex. Both sides of the new relation are nonlinear in the deformation: they contain terms of degrees 0, 1 and 2.
Cite
@article{arxiv.1201.4762,
title = {Deformation of a 3 -> 3 Pachner move relation capturing exotic second homologies},
author = {Igor Korepanov},
journal= {arXiv preprint arXiv:1201.4762},
year = {2012}
}
Comments
preprint, 10 pages