Discreteness of deformations of cocompact discrete subgroups

G. A. Margulis; G. A. Soifer

doi:10.1090/conm/772/15492

Discreteness of deformations of cocompact discrete subgroups

G. A. Margulis, G. A. Soifer

Department of Mathematics

Yale University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We prove the discreteness of small deformations of a discrete cocompact subgroup of isometries of a locally compact metric space under some natural restrictions.

Original language	English
Title of host publication	Topology, Geometry, and Dynamics
Editors	Anatoly M. Vershik, Victor M. Buchstaber, Andrey V. Malyutin
Publisher	American Mathematical Society
Pages	241-247
Number of pages	7
ISBN (Print)	9781470456641
DOIs	https://doi.org/10.1090/conm/772/15492
State	Published - 2021
Event	International Conference on Topology, Geometry, and Dynamics, 2019 - St. Petersburg, Russian Federation Duration: 19 Aug 2019 → 23 Aug 2019

Publication series

Name	Contemporary Mathematics
Volume	772
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Conference

Conference	International Conference on Topology, Geometry, and Dynamics, 2019
Country/Territory	Russian Federation
City	St. Petersburg
Period	19/08/19 → 23/08/19

Bibliographical note

Publisher Copyright:
© 2021 by the American Mathematical Society.

Funding

This work was done during our stay at MPIM Bonn. The authors would like to thank MPIM for hospitality and support.

Access to Document

10.1090/conm/772/15492

Cite this

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title = "Discreteness of deformations of cocompact discrete subgroups",

abstract = "We prove the discreteness of small deformations of a discrete cocompact subgroup of isometries of a locally compact metric space under some natural restrictions.",

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doi = "10.1090/conm/772/15492",

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Margulis, GA & Soifer, GA 2021, Discreteness of deformations of cocompact discrete subgroups. in AM Vershik, VM Buchstaber & AV Malyutin (eds), Topology, Geometry, and Dynamics. Contemporary Mathematics, vol. 772, American Mathematical Society, pp. 241-247, International Conference on Topology, Geometry, and Dynamics, 2019, St. Petersburg, Russian Federation, 19/08/19. https://doi.org/10.1090/conm/772/15492

Discreteness of deformations of cocompact discrete subgroups. / Margulis, G. A.; Soifer, G. A.
Topology, Geometry, and Dynamics. ed. / Anatoly M. Vershik; Victor M. Buchstaber; Andrey V. Malyutin. American Mathematical Society, 2021. p. 241-247 (Contemporary Mathematics; Vol. 772).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Discreteness of deformations of cocompact discrete subgroups

Abstract

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Bibliographical note

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