Dynamical and cohomological obstructions to extending group actions

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Dynamical and cohomological obstructions to extending group actions. / Mann, Kathryn; Nariman, Sam.

I: Mathematische Annalen, Bind 377, Nr. 3-4, 2020, s. 1313-1338.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Mann, K & Nariman, S 2020, 'Dynamical and cohomological obstructions to extending group actions', Mathematische Annalen, bind 377, nr. 3-4, s. 1313-1338. https://doi.org/10.1007/s00208-020-01989-4

APA

Mann, K., & Nariman, S. (2020). Dynamical and cohomological obstructions to extending group actions. Mathematische Annalen, 377(3-4), 1313-1338. https://doi.org/10.1007/s00208-020-01989-4

Vancouver

Mann K, Nariman S. Dynamical and cohomological obstructions to extending group actions. Mathematische Annalen. 2020;377(3-4):1313-1338. https://doi.org/10.1007/s00208-020-01989-4

Author

Mann, Kathryn ; Nariman, Sam. / Dynamical and cohomological obstructions to extending group actions. I: Mathematische Annalen. 2020 ; Bind 377, Nr. 3-4. s. 1313-1338.

Bibtex

@article{abbac61d27f6414ab2c9f4f572659cb9,
title = "Dynamical and cohomological obstructions to extending group actions",
abstract = "Motivated by a question of Ghys, we study obstructions to extending group actions on the boundary ∂M of a 3-manifold to a C-action on M. Among other results, we show that for a 3-manifold M, the S1× S1 action on the boundary does not extend to a C-action of S1× S1 via homeomorphisms that are isotopic to the identity as a discrete group on M, except in the trivial case M≅ D2× S1.",
author = "Kathryn Mann and Sam Nariman",
year = "2020",
doi = "10.1007/s00208-020-01989-4",
language = "English",
volume = "377",
pages = "1313--1338",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer",
number = "3-4",

}

RIS

TY - JOUR

T1 - Dynamical and cohomological obstructions to extending group actions

AU - Mann, Kathryn

AU - Nariman, Sam

PY - 2020

Y1 - 2020

N2 - Motivated by a question of Ghys, we study obstructions to extending group actions on the boundary ∂M of a 3-manifold to a C-action on M. Among other results, we show that for a 3-manifold M, the S1× S1 action on the boundary does not extend to a C-action of S1× S1 via homeomorphisms that are isotopic to the identity as a discrete group on M, except in the trivial case M≅ D2× S1.

AB - Motivated by a question of Ghys, we study obstructions to extending group actions on the boundary ∂M of a 3-manifold to a C-action on M. Among other results, we show that for a 3-manifold M, the S1× S1 action on the boundary does not extend to a C-action of S1× S1 via homeomorphisms that are isotopic to the identity as a discrete group on M, except in the trivial case M≅ D2× S1.

U2 - 10.1007/s00208-020-01989-4

DO - 10.1007/s00208-020-01989-4

M3 - Journal article

AN - SCOPUS:85083765118

VL - 377

SP - 1313

EP - 1338

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

IS - 3-4

ER -

ID: 257709941