Arbeitspapier
On the configuration spaces of grassmannian manifolds
Let Fi h(k, n) be the ith ordered configuration space of all distinct points H1, . . . ,Hh in the Grassmannian Gr(k, n) of k-dimensional sub-spaces of Cn, whose sum is a subspace of dimension i. We prove that Fi h(k, n) is (when non empty) a complex submanifold of Gr(k, n)h of dimension i(n - i) + hk(i - k) and its fundamental group is trivial if i = min(n, hk), hk /= n and n > 2 and equal to the braid group of the sphere CP1 if n = 2. Eventually we compute the fundamental group in the special case of hyperplane arrangements, i.e. k = n - 1.
- Sprache
-
Englisch
- Erschienen in
-
Series: LEM Working Paper Series ; No. 2012/19
- Klassifikation
-
Wirtschaft
- Thema
-
complex space
configuration spaces
braid groups
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Manfredini, Sandro
Settepanella, Simona
- Ereignis
-
Veröffentlichung
- (wer)
-
Scuola Superiore Sant'Anna, Laboratory of Economics and Management (LEM)
- (wo)
-
Pisa
- (wann)
-
2012
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:42 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- Manfredini, Sandro
- Settepanella, Simona
- Scuola Superiore Sant'Anna, Laboratory of Economics and Management (LEM)
Entstanden
- 2012
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