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Smooth manifolds with prescribed rational cohomology ring Su, Zhixu

Description

Given a rational Poincare duality algebra A, is there a manifold M whose rational cohomology ring realizes A? The Hirzebruch signature formula provides an obstruction to the existence of such manifold. In the case of A=Q[x]/

Item Metadata

Title
Smooth manifolds with prescribed rational cohomology ring
Creator
Su, Zhixu
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2016-07-24T08:35
Description
Given a rational Poincare duality algebra A, is there a manifold M whose rational cohomology ring realizes A? The Hirzebruch signature formula provides an obstruction to the existence of such manifold. In the case of A=Q[x]/
Extent
56 minutes
Subject
Mathematics; Manifolds and cell complexes; Algebraic topology
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Indiana University
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2017-02-05
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0340862
URI
http://hdl.handle.net/2429/60386
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International