The cohomology ring of binary tree braid groups
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.