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THE ${ \mathbb{F} }_{2} $-COHOMOLOGY RINGS OF $ \mathbb{S} {\text{ol} }^{3} $-MANIFOLDS

Part of: Low-dimensional topology

Published online by Cambridge University Press:  27 September 2013

J. A. HILLMAN
J. A. HILLMAN*
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
*
[email protected]
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Abstract

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We compute the rings ${H}^{\ast } (N; { \mathbb{F} }_{2} )$ for $N$ a closed $ \mathbb{S} {\mathrm{ol} }^{3} $-manifold, and then determine the Borsuk–Ulam indices $\text{BU} (N, \phi )$ with $\phi \not = 0$ in ${H}^{1} (N; { \mathbb{F} }_{2} )$.

Keywords

Borsuk–Ulam theoremcohomology𝕊ol3-manifold

MSC classification

Secondary: 57M99: None of the above, but in this section
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 89 , Issue 2 , April 2014 , pp. 191 - 201
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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