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Analysis of institutional authors

Aramayona, JavierAuthor

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December 2, 2019
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Article

Big Torelli groups: generation and commensuration

Publicated to: Groups Geometry and Dynamics. 13 (4): 1373-1399 - 2019-01-01 13(4), DOI: 10.4171/GGD/526

Authors:

Aramayona, J; Ghaswala, T; Kent, AE; McLeay, A; Tao, J; Winarski, R
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Affiliations

ICMAT, Ciudad Univ Cantoblanco S-N - Author
Univ Luxembourg, Math Res Unit, 2 Ave Univ - Author
Univ Manitoba, Dept Math, Machray Hall 420,186 Dysart Rd, Winnipeg - Author
Univ Michigan, Dept Math, 530 Church St - Author
Univ Oklahoma, Dept Math, 601 Elm Ave - Author
Univ Wisconsin, Dept Math, 480 Lincoln Dr - Author
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Abstract

For any surface Sigma of infinite topological type, we study the Torelli subgroup I(Sigma) of the mapping class group MCG(Sigma), whose elements are those mapping classes that act trivially on the homology of Sigma. Our first result asserts that I(Sigma) is topologically generated by the subgroup of MCG(Sigma) consisting of those elements in the Torelli group which have compact support. Next, we prove the abstract commensurator group of I(Sigma) coincides with MCG(Sigma). This extends the results for finite-type surfaces [9, 6, 7, 16] to the setting of infinite-type surfaces.
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Keywords

AutomorphismsComplexesCurvesGenus-2Infinite-type surfacesMapping class groupsTorelli group

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Groups Geometry and Dynamics due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2019, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Discrete Mathematics and Combinatorics. Notably, the journal is positioned above the 90th percentile.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-04:

  • WoS: 4
  • Scopus: 4
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-04:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 3 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Additionally, the work has been submitted to a journal classified as Diamond in relation to this type of editorial policy.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Canada; Luxembourg; United States of America.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (ARAMAYONA DELGADO, JAVIER) .

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Awards linked to the item

Kent, Tao, and Winarski were partially supported by NSF grants DMS-1107452, DMS-1107263, DMS-1107367 RNMS: Geometric Structures and Representation Varieties (the GEAR Network). Aramayona was partially supported by grants RYC-2013-13008 and MTM-2015-67781. Kent acknowledges support from NSF grant DMS-1350075 and the Vilas Trustees at the University of Wisconsin. Tao acknowledges partial support from NSF grant DMS-1440140. Winarski acknowledges partial support from the AMS-Simons Travel Grants which are administered by the American Mathematical Society, with support from the Simons Foundation.
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