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The University of Southampton
Mathematical Sciences

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

Topology 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

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