Forty second meeting of the Transpennine Topology Triangle


Department of Mathematics and Computer Science
University of Leicester
December 1st, 2003


Programme

Coffee will be available in F9 (Mathematics Building, Reading Room) from 11.00 am, and the first talk will start at 11.30 am.

ABSTRACTS

Jelena Grbic (Aberdeen)

Title: Homotopy associative, homotopy commutative universal spaces of 2-cell complexes.
Abstract: For any connected space X the James construction shows that $\Omega\Sigma X$ is universal in the category of homotopy associative H-spaces in the sense that any map from X to a homotopy associative H-space Y factors through a uniquely determined H-map $F:\Omega\Sigma X \longrightarrow Y$. In this talk we investigate the universal spaces of two-cell complexes in the category of homotopy associative, homotopy commutative $H$-spaces. The universal spaces we obtain generalise a result of Cohen, Moore, and Neisendorfer concerning odd dimensional odd-primary Moore spaces.

David Chataur (Angers)

First Talk: A bordism approach to string topology.
Abstract: In this talk I will explain how to use geometric homology theory in order to construct the BV-structure of Chas and Sullivan on the homology of free loop spaces. All these constructions will use transversality in the context of infinite dimensional manifolds.

Second Talk: The homology of free loop spaces as a homological conformal field theory.
Abstract: One of the most exciting conjecture in String topology is the fact the homology of free loop spaces should be a homological conformal field theory, this algebraic structure is very rich. We will explain that a Prop, namely the homology of the Sullivan's chord diagrams, acts on the homology of free loop spaces. The Prop of Sullivan's chord diagrams is very close to moduli spaces of curves and this result unifies under the same algebraic structure: The BV structure due to Chas and Sullivan and the Frobenius structure of Cohen and Godin.


TTT42 is partially supported by an LMS Scheme 3 grant. Please let Frank Neumann know if you will be joining us for lunch, as he needs to make specific bookings. Anyone who wishes to participate is welcome: we shall operate the usual arrangements for assistance with travel expenses.
Tea and Coffee will be served in the common room.
For further information email John Hunton jrh7@mcs.le.ac.uk (or John Greenlees j.greenlees@sheffield.ac.uk or Nige Ray nige@ma.man.ac.uk) if you are interested, so we can make approximately the right amount of tea and coffee.


How to get there

It is a short walk from the rail station. See maps and how to get to Leicester University
The meeting is partially supported by a Scheme 3 grant from the London Mathematical Society.

Escape routes

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