Degrees of Maps between complex Grassmann Manifolds[HBNI Th 16]

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Degrees of Maps between complex Grassmann Manifolds[HBNI Th 16]

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dc.contributor.author Swagata Sarkar
dc.date.accessioned 2010-04-13T06:38:54Z
dc.date.available 2010-04-13T06:38:54Z
dc.date.issued 2010-04-13T06:38:54Z
dc.date.submitted 2010
dc.identifier.uri http://hdl.handle.net/123456789/176
dc.description.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. en_US
dc.publisher.publisher
dc.subject Complex Grassmann Manifolds en_US
dc.subject HBNI Th 16 en_US
dc.title Degrees of Maps between complex Grassmann Manifolds[HBNI Th 16] en_US
dc.type.degree Ph.D en_US
dc.type.institution Institute of Mathematical Sciences en_US
dc.description.advisor Sankaran, P.
dc.description.pages 44p. en_US
dc.type.mainsub Mathematics en_US

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