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Topology Seminar - Qayum Khan

Qayum Khan
February 23, 2017
12:40PM - 1:50PM
Cockins Hall 240

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Add to Calendar 2017-02-23 12:40:00 2017-02-23 13:50:00 Topology Seminar - Qayum Khan Title: Stable existence of incompressible 3-manifolds in 4-manifoldsSpeaker: Qayum Khan (St. Louis University)Abstract: Given an injective amalgam at the level of fundamental groups and a specific 3-manifold, is there a corresponding geometric-topological decomposition of a given 4-manifold, in a stable sense? We find an algebraic-topological splitting criterion in terms of the orientation classes and universal covers. Also, we equivariantly generalize the Lickorish–Wallace theorem to regular covers. This is joint work-in-progress with my PhD student, Gerrit Smith.Seminar URL: https://research.math.osu.edu/topology/ Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Stable existence of incompressible 3-manifolds in 4-manifolds

SpeakerQayum Khan (St. Louis University)

Abstract: Given an injective amalgam at the level of fundamental groups and a specific 3-manifold, is there a corresponding geometric-topological decomposition of a given 4-manifold, in a stable sense? We find an algebraic-topological splitting criterion in terms of the orientation classes and universal covers. Also, we equivariantly generalize the Lickorish–Wallace theorem to regular covers. This is joint work-in-progress with my PhD student, Gerrit Smith.

Seminar URLhttps://research.math.osu.edu/topology/

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