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Analysis of institutional authors

Belver, CarolinaCorresponding Author

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Trivializations of moment maps

Publicated to:ANNALES DE L INSTITUT FOURIER. 74 (1): 307-347 - 2024-01-01 74(1), DOI: 10.5802/aif.3587

Authors: Belver, Carolina

Affiliations

UAM, C Nicolas Cabrera, 13-15 Campus Cantoblanco, Madrid 28049, Spain - Author

Abstract

- We study various trivializations of moment maps. First in the general framework of a complex reductive group G acting on a smooth affine variety. We prove that the moment map is a locally trivial fibration over a regular locus of the center of the Lie algebra of H a maximal compact subgroup of G . The construction relies on Kempf-Ness theory and Morse theory of the square norm of the moment map studied by Kirwan, Ness-Mumford and Sjamaar. Then we apply it together with ideas from Nakajima and Kronheimer to trivialize the hyperk & auml;hler moment map for Nakajima quiver varieties. Notice this trivialization result about quiver varieties was known and used by experts such as Nakajima and Maffei but we could not locate a proof in the literature.

Keywords

Ale spacesConvexity propertiesHler moment map,nakajima quiver varietieHyperkähler moment mapMoment mapMoment map,hyperk & aumlNakajima quiver varietiesQuiver varietiesRepresentation

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal ANNALES DE L INSTITUT FOURIER 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, 2024 there are still no calculated indicators, but in 2023, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Algebra and Number Theory. 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 2025-06-15:

  • Scopus: 1

Impact and social visibility

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.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (BELVER COLDEIRA, CAROLINA).

the author responsible for correspondence tasks has been BELVER COLDEIRA, CAROLINA.