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20202024
most citedThe -effective spectral sequence for -equivariant connective real -theory

5 citations · 8 across the 11 of their papers we have counts for

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math.AT2024

Product formulas for conjugated motivic milnor basis

Hana Jia Kong, Weinan Lin

We give explicit product formulas for the mod 2 motivic Steenrod algebra in the conjugated motivic Milnor basis. This provides an efficient tool for computing the E2-page of the mo…

math.AT2024

Group completions and the homotopical monadicity theorem

Hana Jia Kong, J. Peter May, Foling Zou

This paper is divided into three parts. In the first part, we give the general abstract axiomatic theory and treat the classical examples of infinite loop space machines with struc…

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

The -motivic Adams-Novikov spectral sequence for topological modular forms

Daniel C. Isaksen, Hana Jia Kong, Guchuan Li +2

We analyze the -motivic (and classical) Adams-Novikov spectral sequence for the -motivic modular forms spectrum (and for the classical topolo…

math.AT2022

-graded homotopy fixed point spectral sequence for height Morava -theory

Zhipeng Duan, Hana Jia Kong, Guchuan Li +2

We consider and as finite subgroups of the Morava stabilizer group which acts on the height Morava -theory at the prime .…

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★ 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

A shadow perspective on equivariant Hochschild homologies

Katharine Adamyk, Teena Gerhardt, Kathryn Hess +2

Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type inva…

math.AT2020

Algebraic slice spectral sequences

Dominic Leon Culver, Hana Jia Kong, J. D. Quigley

For certain motivic spectra, we construct a square of spectral sequences relating the effective slice spectral sequence and the motivic Adams spectral sequence. We show the square…

math.AT2020★ 5 cited

The -effective spectral sequence for -equivariant connective real -theory

Hana Jia Kong

We construct a -equivariant spectral sequence for RO-graded homotopy groups. The construction is by using the motivic effective slice filtration and the -equivaria…

math.AT2020

Computational tools for twisted topological Hochschild homology of equivariant spectra

Katharine Adamyk, Teena Gerhardt, Kathryn Hess +2

Twisted topological Hochschild homology of -equivariant spectra was introduced by Angeltveit, Blumberg, Gerhardt, Hill, Lawson, and Mandell, building on the work of Hill, Hopk…