Koszul spaces

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Koszul spaces. / Berglund, Alexander.

I: Transactions of the American Mathematical Society, Bind 366, Nr. 9, 2014, s. 4551-4569.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Berglund, A 2014, 'Koszul spaces', Transactions of the American Mathematical Society, bind 366, nr. 9, s. 4551-4569. https://doi.org/10.1090/S0002-9947-2014-05935-7

APA

Berglund, A. (2014). Koszul spaces. Transactions of the American Mathematical Society, 366(9), 4551-4569. https://doi.org/10.1090/S0002-9947-2014-05935-7

Vancouver

Berglund A. Koszul spaces. Transactions of the American Mathematical Society. 2014;366(9):4551-4569. https://doi.org/10.1090/S0002-9947-2014-05935-7

Author

Berglund, Alexander. / Koszul spaces. I: Transactions of the American Mathematical Society. 2014 ; Bind 366, Nr. 9. s. 4551-4569.

Bibtex

@article{50ab4d07e10c4a118d0efb0260c29ead,
title = "Koszul spaces",
abstract = "We prove that a nilpotent space is both formal and coformal if and only if it is rationally homotopy equivalent to the derived spatial realization of a graded commutative Koszul algebra. We call such spaces Koszul spaces and show that the rational homotopy groups and the rational homology of iterated loop spaces of Koszul spaces can be computed by applying certain Koszul duality constructions to the cohomology algebra. - See more at: http://www.ams.org/journals/tran/2014-366-09/S0002-9947-2014-05935-7/#sthash.hc29cqck.dpuf",
author = "Alexander Berglund",
year = "2014",
doi = "10.1090/S0002-9947-2014-05935-7",
language = "English",
volume = "366",
pages = "4551--4569",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "9",

}

RIS

TY - JOUR

T1 - Koszul spaces

AU - Berglund, Alexander

PY - 2014

Y1 - 2014

N2 - We prove that a nilpotent space is both formal and coformal if and only if it is rationally homotopy equivalent to the derived spatial realization of a graded commutative Koszul algebra. We call such spaces Koszul spaces and show that the rational homotopy groups and the rational homology of iterated loop spaces of Koszul spaces can be computed by applying certain Koszul duality constructions to the cohomology algebra. - See more at: http://www.ams.org/journals/tran/2014-366-09/S0002-9947-2014-05935-7/#sthash.hc29cqck.dpuf

AB - We prove that a nilpotent space is both formal and coformal if and only if it is rationally homotopy equivalent to the derived spatial realization of a graded commutative Koszul algebra. We call such spaces Koszul spaces and show that the rational homotopy groups and the rational homology of iterated loop spaces of Koszul spaces can be computed by applying certain Koszul duality constructions to the cohomology algebra. - See more at: http://www.ams.org/journals/tran/2014-366-09/S0002-9947-2014-05935-7/#sthash.hc29cqck.dpuf

U2 - 10.1090/S0002-9947-2014-05935-7

DO - 10.1090/S0002-9947-2014-05935-7

M3 - Journal article

VL - 366

SP - 4551

EP - 4569

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 9

ER -

ID: 117367989