Topology Seminar - Taylor resolution and partial quotients of moment-angle complexes, Xin Fu (Southampton) Seminar

- Time:
- 14:00 - 15:00
- Date:
- 1 October 2018
- Venue:
- Lecture Room 10B, Building 54, Mathematical Sciences, University of Southampton, Highfield Campus, SO17 1BJ
For more information regarding this seminar, please email Professor Stephen Theriault at S.D.Theriault@southampton.ac.uk .
Event details
Abstract: In this talk we consider torus actions on moment-angle complexes and calculate the cohomology of their quotient spaces. From the Taylor resolution, a differential graded algebra is obtained with homology isomorphic to the cohomology of quotient spaces. In the case of circle actions on moment-angle complexes, we relate the homology groups of this DGA to weighted homology groups of a filtration of simplicial complexes.
Speaker information
Xin Fu , University of Southampton