%0 Generic %1 Massuyeau2010 %A Massuyeau, Gwenael %D 2010 %K canonical homomorphisms morita ptolemy %T Canonical extensions of Morita homomorphisms to the Ptolemy groupoid %U http://arxiv.org/abs/1006.0920 %X Let S be a compact connected oriented surface with one boundary component. We extend each of Johnson's and Morita's homomorphisms to the Ptolemy groupoid of S. Our extensions are canonical and take values into finitely generated free abelian groups. The construction is based on the 3-dimensional interpretation of the Ptolemy groupoid, and a chain map introduced by Suslin and Wodzicki to relate the homology of a nilpotent group to the homology of its Malcev Lie algebra.

@misc{Massuyeau2010, abstract = { Let S be a compact connected oriented surface with one boundary component. We extend each of Johnson's and Morita's homomorphisms to the Ptolemy groupoid of S. Our extensions are canonical and take values into finitely generated free abelian groups. The construction is based on the 3-dimensional interpretation of the Ptolemy groupoid, and a chain map introduced by Suslin and Wodzicki to relate the homology of a nilpotent group to the homology of its Malcev Lie algebra. }, added-at = {2010-06-14T11:39:27.000+0200}, author = {Massuyeau, Gwenael}, biburl = {https://www.bibsonomy.org/bibtex/223726c87c57c758466037158261eafc9/uludag}, description = {[1006.0920] Canonical extensions of Morita homomorphisms to the Ptolemy groupoid}, interhash = {0a1d4af90da92efeae47c3ca0679e66b}, intrahash = {23726c87c57c758466037158261eafc9}, keywords = {canonical homomorphisms morita ptolemy}, note = {cite arxiv:1006.0920 Comment: 30 pages}, timestamp = {2010-06-14T11:39:27.000+0200}, title = {Canonical extensions of Morita homomorphisms to the Ptolemy groupoid}, url = {http://arxiv.org/abs/1006.0920}, year = 2010 }