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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2011
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1112.3915 |
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Table of Contents:
- We study a new bordification of the decorated Teichmüller space for a multiply punctured surface F by a space of filtered screens on the surface that arises from a natural elaboration of earlier work of McShane-Penner. We identify necessary and sufficient conditions for paths in this space of filtered screens to yield short curves having vanishing length in the underlying surface F. As a result, an appropriate quotient of this space of filtered screens on F yields a decorated augmented Teichmüller space which is shown to admit a CW decomposition that naturally projects to the augmented Teichmüller space by forgetting decorations and whose strata are indexed by a new object termed partially oriented stratum graphs.