Cactus products and Outer space with generalised boundaries
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Mon, 05/03/2012 11:00 |
James Griffin (Cambridge) |
Topology Advanced Classes  |
L3 |
| A cactus product is much like a wedge product of pointed spaces, but instead of being uniquely defined there is a moduli space of possible cactus products. I will discuss how this space can be interpreted geometrically and how its combinatorics calculates the homology of the automorphism group of a free product with no free group factors. Then I will reinterpret the moduli space with Outer space in mind: the lobes of the cacti now behave like boundaries and our free products can now include free group factors. | |||