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
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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