Canonical extensions of Morita homomorphisms to the Ptolemy groupoid - Mathematics > Geometric TopologyReport as inadecuate




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Abstract: Let S be a compact connected oriented surface with one boundary component. Weextend each of Johnson-s and Morita-s homomorphisms to the Ptolemy groupoid ofS. Our extensions are canonical and take values into finitely generated freeabelian groups. The constructions are based on the 3-dimensional interpretationof the Ptolemy groupoid, and a chain map introduced by Suslin and Wodzicki torelate the homology of a nilpotent group to the homology of its Malcev Liealgebra.



Author: Gwenael Massuyeau

Source: https://arxiv.org/







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