A finite loop space not rationally equivalent to a compact Lie group
Författare
Summary, in English
We construct a connected finite loop space of rank 66 and dimension 1254 whose rational cohomology is not isomorphic as a graded vector space to the rational cohomology of any compact Lie group, hence providing a counterexample to a classical conjecture. Aided by machine calculation we verify that our counterexample is minimal, i.e., that any finite loop space of rank less than 66 is in fact rationally equivalent to a compact Lie group, extending the classical known bound of 5.
Publiceringsår
2004
Språk
Engelska
Sidor
1-10
Publikation/Tidskrift/Serie
Inventiones Mathematicae
Volym
157
Issue
1
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1432-1297