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The mapping class group of minimal subshifts Yang, Kitty
Description
Let $(X, \sigma)$ be a subshift and $\textrm{Aut}(X)$ be the automorphism group, the group of self conjugacies of $(X, \sigma)$. The mapping class group, denoted $\mathcal{M})(\sigma)$, is the group of self flow equivalences. We show that $\mathcal{M}(\sigma)$ is constrained in the case of low-complexity minimal subshifts, similar to constraints on $\textrm{Aut}(X)$. In particular, when $(X, \sigma)$ is a minimal subshift associated to a substitution, $\mathcal{M}(\sigma)$ is an extension of $\mathbb{Z}$ by some finite subgroup of $\textrm{Aut}(X)$.
Item Metadata
Title |
The mapping class group of minimal subshifts
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-05-14T15:00
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Description |
Let $(X, \sigma)$ be a subshift and $\textrm{Aut}(X)$ be the automorphism group, the group of self conjugacies of $(X, \sigma)$. The mapping class group, denoted $\mathcal{M})(\sigma)$, is the group of self flow equivalences. We show that $\mathcal{M}(\sigma)$ is constrained in the case of low-complexity minimal subshifts, similar to constraints on $\textrm{Aut}(X)$. In particular, when $(X, \sigma)$ is a minimal subshift associated to a substitution, $\mathcal{M}(\sigma)$ is an extension of $\mathbb{Z}$ by some finite subgroup of $\textrm{Aut}(X)$.
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Extent |
50.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Northwestern University
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Series | |
Date Available |
2019-11-11
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0385159
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International