Mapping class group actions on configuration spaces and the Johnson filtration

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Standard

Mapping class group actions on configuration spaces and the Johnson filtration. / Bianchi, Andrea; Miller, Jeremy; Wilson, Jennifer C.H.

I: Transactions of the American Mathematical Society, Bind 375, Nr. 8, 2022, s. 5461-5489.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bianchi, A, Miller, J & Wilson, JCH 2022, 'Mapping class group actions on configuration spaces and the Johnson filtration', Transactions of the American Mathematical Society, bind 375, nr. 8, s. 5461-5489. https://doi.org/10.1090/tran/8637

APA

Bianchi, A., Miller, J., & Wilson, J. C. H. (2022). Mapping class group actions on configuration spaces and the Johnson filtration. Transactions of the American Mathematical Society, 375(8), 5461-5489. https://doi.org/10.1090/tran/8637

Vancouver

Bianchi A, Miller J, Wilson JCH. Mapping class group actions on configuration spaces and the Johnson filtration. Transactions of the American Mathematical Society. 2022;375(8):5461-5489. https://doi.org/10.1090/tran/8637

Author

Bianchi, Andrea ; Miller, Jeremy ; Wilson, Jennifer C.H. / Mapping class group actions on configuration spaces and the Johnson filtration. I: Transactions of the American Mathematical Society. 2022 ; Bind 375, Nr. 8. s. 5461-5489.

Bibtex

@article{213e211c986c4dc6bde49420dca985cc,
title = "Mapping class group actions on configuration spaces and the Johnson filtration",
abstract = "Let Fn(Σg,1) denote the configuration space of n ordered points on the surface Σg,1 and let Γg,1 denote the mapping class group of Σg,1. We prove that the action of Γg,1 on Hi(Fn(Σg,1); ℤ) is trivial when restricted to the ith stage of the Johnson filtration J(i) ⊂ Γg,1. We give examples showing that J(2) acts nontrivially on H3(F3(Σg,1)) for g ≥ 2, and provide two new conceptual reinterpretations of a certain group introduced by Moriyama.",
author = "Andrea Bianchi and Jeremy Miller and Wilson, {Jennifer C.H.}",
note = "Publisher Copyright: {\textcopyright} 2022 American Mathematical Society.",
year = "2022",
doi = "10.1090/tran/8637",
language = "English",
volume = "375",
pages = "5461--5489",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "8",

}

RIS

TY - JOUR

T1 - Mapping class group actions on configuration spaces and the Johnson filtration

AU - Bianchi, Andrea

AU - Miller, Jeremy

AU - Wilson, Jennifer C.H.

N1 - Publisher Copyright: © 2022 American Mathematical Society.

PY - 2022

Y1 - 2022

N2 - Let Fn(Σg,1) denote the configuration space of n ordered points on the surface Σg,1 and let Γg,1 denote the mapping class group of Σg,1. We prove that the action of Γg,1 on Hi(Fn(Σg,1); ℤ) is trivial when restricted to the ith stage of the Johnson filtration J(i) ⊂ Γg,1. We give examples showing that J(2) acts nontrivially on H3(F3(Σg,1)) for g ≥ 2, and provide two new conceptual reinterpretations of a certain group introduced by Moriyama.

AB - Let Fn(Σg,1) denote the configuration space of n ordered points on the surface Σg,1 and let Γg,1 denote the mapping class group of Σg,1. We prove that the action of Γg,1 on Hi(Fn(Σg,1); ℤ) is trivial when restricted to the ith stage of the Johnson filtration J(i) ⊂ Γg,1. We give examples showing that J(2) acts nontrivially on H3(F3(Σg,1)) for g ≥ 2, and provide two new conceptual reinterpretations of a certain group introduced by Moriyama.

UR - http://www.scopus.com/inward/record.url?scp=85137540282&partnerID=8YFLogxK

U2 - 10.1090/tran/8637

DO - 10.1090/tran/8637

M3 - Journal article

AN - SCOPUS:85137540282

VL - 375

SP - 5461

EP - 5489

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 8

ER -

ID: 320109940