activity
20152025
most citedR-motivic stable stems

5 citations · 19 across the 16 of their papers we have counts for

collaborators

16 papers

math.AT2025

Towards the Kervaire Invariant Problem: The -page for the homotopy fixed points spectral sequence computing

Eva Belmont, Rin Ray

Hill, Hopkins, and Ravenel suggest that the last remaining Kervaire invariant problem, the case of , can be solved by computing the homotopy fixed points spectral sequence for…

math.AT2023

Bredon homological stability for configuration spaces of -manifolds

Eva Belmont, J. D. Quigley, Chase Vogeli

McDuff and Segal proved that unordered configuration spaces of open manifolds satisfy homological stability: there is a stabilization map which is an isom…

math.AT2023

A deformation of Borel equivariant homotopy

Gabriel Angelini-Knoll, Mark Behrens, Eva Belmont +1

We describe a deformation of the -category of Borel -spectra for a finite group . This provides a new presentation of the -complete real Artin--Tate motivic stable…

math.AT2023

Normalizer decompositions of p-local compact groups

Eva Belmont, Natalia Castellana, Jelena Grbic +2

We give a normalizer decomposition for a p-local compact group (S, F, L) that describes |L| as a homotopy colimit indexed over a finite poset. Our work generalizes the normalizer d…

math.AT2022★ 1 cited

The reduced ring of the -graded -equivariant stable stems

Eva Belmont, Zhouli Xu, Shangjie Zhang

We describe in terms of generators and relations the ring structure of the -graded -equivariant stable stems modulo the ideal of all nilpotent element…

math.AT2022

Subgroup collections controlling the homotopy type of a -local compact group

Eva Belmont, Natàlia Castellana, Kathryn Lesh

Let (S,F,L) be a p-local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that ar…

math.AT2022★ 2 cited

-motivic -periodic homotopy

Eva Belmont, Daniel C. Isaksen, Hana Jia Kong

We compute the -periodic -motivic stable homotopy groups. The main tool is the effective slice spectral sequence. Along the way, we also analyze -motiv…

math.AT2021

Normalizers of chains of discrete -toral subgroups in compact Lie groups

Eva Belmont, Natàlia Castellana, Jelena Grbić +2

In this paper we study the normalizer decomposition of a compact Lie group using the information of the fusion system of on a maximal discrete -toral subgr…

math.AT2021★ 1 cited

A Toda bracket convergence theorem for multiplicative spectral sequences

Eva Belmont, Hana Jia Kong

Moss' theorem, which relates Massey products in the -page of the classical Adams spectral sequence to Toda brackets of homotopy groups, is one of the main tools for calculatin…

math.AT2021★ 2 cited

Beta families arising from a self map on

Eva Belmont, Katsumi Shimomura

We show that is a permanent cycle in the 3-primary Adams-Novikov spectral sequence computing , and use this to conclude that the families for…

math.AT2020

A new approach to mod 2 decompositions of BSU(2) and BSO(3)

Eva Belmont, Natàlia Castellana, Jelena Grbić +2

Dwyer, Miller and Wilkerson proved that at the prime 2, the classifying spaces of SU(2) and SO(3) can be obtained as a homotopy pushout of the classifying spaces of certain subgrou…

math.AT2020★ 5 cited

R-motivic stable stems

Eva Belmont, Daniel C. Isaksen

We compute some R-motivic stable homotopy groups. For , we describe the motivic stable homotopy groups of a completion of the R-motivic sphere spectrum. We…

math.AT2020★ 4 cited

C_2-equivariant and R-motivic stable stems, II

Eva Belmont, Bertrand J. Guillou, Daniel C. Isaksen

We show that the -equivariant and -motivic stable homotopy groups are isomorphic in a range. This result supersedes previous work of Dugger and the third author.

math.AT2019★ 3 cited

Localizing the page of the Adams spectral sequence

Eva Belmont

There is only one nontrivial localization of (the chromatic localization at ), but there are infinitely many nontrivial localizations of the Adams page fo…

math.AT2018★ 1 cited

A Cartan-Eilenberg spectral sequence for a non-normal extension

Eva Belmont

Let be a conormal extension of Hopf algebras over a commutative ring , and let be a -comodule. The Cartan-Eilenberg spectral sequence $$ E_2 = \mathrm{Ext}_…

math.NT2015

l-adic properties of partition functions

Eva Belmont, Holden Lee, Alexandra Musat +1

Folsom, Kent, and Ono used the theory of modular forms modulo to establish remarkable ``self-similarity'' properties of the partition function and give an overarching explan…