Massey Products for Graph Homology.

Abstract: This talk is about graph complexes and their homology. A graph complex can be thought of as a generalization of a dg associative algebra, but with more sophisticated composition operations allowing for particles to collide along any graph, not just along a line. Is every graph complex quasi-isomorphic to its homology? Continuing the analogy with associative algebras the answer is no, but we will see how an A-infinity analog of graph complexes can be used to rectify this situation. We will then discuss what these higher operations can tell us in the particular cases of Lie and commutative graph homology.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( slides )

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Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

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