Abstract:
A finite simplicial graph determines a right-angled
Artin group G, with generators corresponding to the
vertices, and with a commutation relation for each
pair of adjacent vertices. The cohomology ring of
G is the exterior Stanley-Reisner ring of the
associated flag complex.
In this talk, I will show how to compute various algebraic
invariants of the group G (the lower central series
quotients, the Chen quotients, and the first resonance variety
of the cohomology ring), directly from the graph.
This is joint work with Stefan Papadima; a preprint is available at
math.GR/0412520.
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