Subject: question about char. classes
Date: Tue, 19 Mar 2002 12:07:54 -0400
From: fcukier@mate.dm.uba.ar (Fernando Cukierman)
To: Don Davis
Another reference that might be useful for this:
Griffiths-Harris, Principles of Algebraic Geometry
Chap. 3 (Chern classes), esp. p. 411
Best regards,
Fernando Cukierman
Buenos Aires
>
>Subject: Re: 3 postings
>Date: Mon, 18 Mar 2002 19:07:17 -0500 (EST)
>From: Yuli Rudyak
>
>> Subject: question about char. classes
>> Date: Wed, 13 Mar 2002 15:23:16 +0400 (IRT)
>> From: rezazadegan@math.sharif.edu
>>
>> There is a sentense in
>>
>> "M. Atyiah Collected works, vol 3 ,p77"
>>
>> about charecteristic classes wich says:
>>
>> "Roughly speaking one considers the cycles where a given number of
>> vector
>> fields becomes linearly dependent."
>>
>> What is the meaning of this sentence?
>>
>
>This was the original definition of Pontryagin characteristic classes,
>given by
>Pontryagin. He considered fields of $k$-frames on a manifold and looked
>for sets
>(homology classes) where the rank decreases. See the review
>
>9,243f 56.0X
>Pontryagin, L. S.
>Characteristic cycles on differentiable manifolds. (Russian)
>Mat. Sbornik N. S. 21(63), (1947). 233--284.
>
>Dr. Yuli B. Rudyak
>Department of Mathematics
>University of Florida
>358 Little Hall
>PO Box 118105
>Gainesville, FL 32611-8105
>USA
>TEL: (+1) 352-392-0281 ext. 297(office)
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