Cohomology of projective space seen by residual complex
نویسندگان
چکیده
منابع مشابه
Cohomology of Projective Space Seen by Residual Complex
A subcomplex of a residual complex on projective space is constructed for computing the cohomology modules of locally free sheaves. A constructive new proof of the Bott formula is given by explicitly exhibiting bases for the cohomology modules.
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Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
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Let X be a space and write LX for its free loop space equipped with the action of the circle group T given by dilation. We compute the equivariant cohomology H(LXhT;Z/p) as a module over H ∗(BT;Z/p) when X = CP for any positive integer r and any prime number p. The computation implies that the associated mod p Serre spectral sequence collapses from the E3-page. MSC: 55N91; 58E05; 55P35; 18G50
متن کاملa-COHOMOLOGY OF COMPLEX PROJECTIVE VARIETIES
to nonsmooth varieties V by taking the L 2 -cohomology H&rq (V Sing V) of the smooth part of V on the left and the L 2 a-cohomology H&i q (V Sing V) of the smooth part on the right. Here" L 2 -cohomology" is in the sense of de Rham's book [dR] and the Riemannian (or Hermitan) metric on V Sing V is that induced from the imbedding of V in projective space. When M is smooth the alternating sum of ...
متن کاملpseudo ricci symmetric real hypersurfaces of a complex projective space
pseudo ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo ricci symmetric real hypersurfaces of the complex projective space cpn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2001
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-01-02686-1