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Semi-free circle actions: the multiplicative structure
Kiihl, J. Carlos S.
Izepe Rodrigues, Claudina
1998
Abstract
In this paper we study the bordism groups of manifolds with semi-free
$S^{1}$-actions, denoted by $SF_{n}\left(S^{1}\right)$. We study
the multiplicative structure by using a J -homomorphism map. We also
study the construction K, which gives a set of multiplicative generators,
presenting an algebraic interpretation of this geometric construction.
As an application, we analyze the homomorphisms $r_{p}:SF_{*}\left(S^{1}\right)\rightarrow SF_{*}\left(\mathbb{Z_{\textrm{p}}}\right)$
from the bordism group of semi-free $S^{1}$-actions on the bordism
group of $\mathbb{Z_{\textrm{p}}}$ -actions induced by the restriction
functors.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1998)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
J. Carlos S. Kiihll and Claudina Izepe Rodrigues, "Semi-free circle actions: the multiplicative structure", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1998), pp. 1-19.
Languages
en
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