| Title: | Degrees of Maps between complex Grassmann Manifolds[HBNI Th 16] |
| Author: |
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| Advisor: | Sankaran, P. |
| Degree: | Ph.D |
| Main Subjects: |
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| Institution: | Institute of Mathematical Sciences |
| Year: | 2010 |
| Pages: | 44p. |
| Abstract: | Let f:Gn,k --> Gm,l be any continuous map between to distinct complex ( resp. quaternionic )Grassmann manifolds of the same dimension. It is shown that the degree of f is zero provided n, m are sufficiently large and l > or = 2. If the degree of f is + or - 1, it is shown that(m,l) + (n,k) and f is a homotopy equivalence. Also it is proved that the image under f* of elements of a set of algebra generators of H*(Gm,l ; Q)is determined upto a sign, + or -, if the degree of f is non-zero. |
| URI: | http://hdl.handle.net/123456789/176 |
| Files | Size | Format | View |
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| HBNITH 16.pdf | 381.7Kb |
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