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Creators/Authors contains: "Putman, Andrew"

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  1. ; (, Groups geometry and dynamics)
    For surface groups and right-angled Artin groups, we prove lower bounds on the shortest word in the generators representing a nontrivial element of the kth term of the lower central series. 
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  2. ; ; (, Bulletin of the London Mathematical Society)
    Abstract Putman and Wieland conjectured that if is a finite branched cover between closed oriented surfaces of sufficiently high genus, then the orbits of all nonzero elements of under the action of lifts to of mapping classes on are infinite. We prove that this holds if is generated by the homology classes of lifts of simple closed curves on . We also prove that the subspace of spanned by such lifts is a symplectic subspace. Finally, simple closed curves lie on subsurfaces homeomorphic to 2‐holed spheres, and we prove that is generated by the homology classes of lifts of loops on lying on subsurfaces homeomorphic to 3‐holed spheres. 
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  3. ; (, Selecta Mathematica)
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  4. (, L’Enseignement Mathématique)
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  5. ; (, Mathematische Zeitschrift)
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  6. ; ; (, Geometry & Topology)
    null (Ed.)
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  7. ; (, Mathematische Annalen)
    null (Ed.)
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  8. ; ; (, Algebra & Number Theory)
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  9. ; (, Proceedings of the Royal Society of Edinburgh: Section A Mathematics)
    Abstract We give a new proof of a theorem of D. Calegari that says that the Cayley graph of a surface group with respect to any generating set lying in finitely many mapping class group orbits has infinite diameter. This applies, for instance, to the generating set consisting of all simple closed curves. 
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