Action of the Grothendieck-Teichmueller group on the operad of Gerstenhaber algebras

Details Action of the Grothendieck-Teichmueller group on the operad of Gerstenhaber algebras Action of the Grothendieck-Teichmueller group on the operad of Gerstenhaber algebras

2002-02-05

arxiv.org/abs/math/0202039v1

Mathematics

Quantum Algebra

Scientific paper

Action of the graded Grothendieck-Teichmueller (GT) group on a resolution of
the operad of Gerstenhaber algebras (GA) is defined. It is shown that the
induced Lie algebra action is homotopically non-trivial (i.e. the induced map
from the Lie algebra of the graded GT group to the deformation complex of the
operad of GA is injective).

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