BechtluftSachs, Stefan
(2003)
Bordism of regularly defective maps.
Mathematische Zeitschrift, 245.
pp. 529543.
Abstract
To a topological space V we assign the bordism group Ndef
n (V ) of reg
ularly defective maps f : M◦→V on closed ndimensional manifolds M.
These are triples (M,, f) where is a closed submanifold ⊂ M and
f a continuous map f : M r → V .
We briefly review the construction of the defect complex DV given by
M. Rost in [17] and show that Ndef
n (V ) is isomorphic to ordinary bordism
Nn(DV ). The bordism classes in Ndef
n (V ) ∼= Nn(DV ) are detected by
characteristic numbers twisted with cohomology classes of DV . Some of
these numbers can be described without reference to the defect complex.
As an example we treat the case of the circle V = S1. We compute
Ndef
n (S1), construct a basis and a complete set of characteristic numbers.
Item Type: 
Article

Keywords: 
Bordism of regularly defective maps; 
Academic Unit: 
Faculty of Science and Engineering > Mathematics and Statistics 
Item ID: 
1588 
Depositing User: 
Dr. Stefan BechtluftSachs

Date Deposited: 
16 Oct 2009 09:49 
Journal or Publication Title: 
Mathematische Zeitschrift 
Publisher: 
Springer Verlag 
Refereed: 
Yes 
URI: 

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