Publication

Convexity of strata in diagonal pants graphs of surfaces

Aramayona, J.
; 
Lecuire, C.
; 
Parlier, H.
; 
Shackleton, K. J.
Identifiers
http://hdl.handle.net/10379/10270
 https://doi.org/10.13025/28373
Publication Date
2013-01-01
Keywords
pants complex, forgetful map, weil-petersson metric, teichmuller space, complex, rank
Type
Article
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Citation
Aramayona, J. Lecuire, C.; Parlier, H.; Shackleton, K. J. (2013). Convexity of strata in diagonal pants graphs of surfaces. Publicacions Matemàtiques 57 (1), 219-237
Abstract
We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph.
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Publisher
Universitat Autonoma de Barcelona
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
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Externally hosted open access publications with University of Galway authors (2)