Entropy bounds and second cohomology |
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| Authors: | David Fried |
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| Institution: | 1. Mathematics Department, Boston University, 111 Cummington St., Boston, MA, 02215, USA
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| Abstract: | When X is a finite complex and p1X\pi_{1}X acts on
\mathbbR2{\mathbb{R}}^2 by translations we give criteria involving H2X for an equivariant map
F : (X)\tilde] ? \mathbbR2F : \tilde{X} \rightarrow {\mathbb{R}}^2 to be onto. Following work of Manning and Shub, this leads to entropy bounds related to Shub’s entropy conjecture. |
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