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The cohomology ring of binary tree braid groups

Algebraic Topology Seminar

The cohomology ring of binary tree braid groups

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Jesus Gonzalez, Centro de Investigación y de Estudios Avanzados del I.P.N., México City

Zoom link: https://princeton.zoom.us/j/96282936122

Passcode: 998749

Using discrete Morse theory, I will describe an efficient presentation for the cohomology  ring of the configuration space of unordered n-tuples of points on a binary tree. With such a presentation, the ring can be shown to be an exterior face ring, thus proving a conjecture by Farley in the case of binary  trees.

This is work in collaboration with Teresa Hoekstra.