Corpus ID: 237485318

BP-cohomology of projective Stiefel manifolds

  title={BP-cohomology of projective Stiefel manifolds},
  author={Samik Basu and Debanil Dasgupta},
In this paper, we compute the BP -cohomology of complex projective Stiefel manifolds. The method involves the homotopy fixed point spectral sequence, and works for complex oriented cohomology theories. We also use these calculations and BP -operations to prove new results about equivariant maps between Stiefel manifolds. 


Cohomology of Complex Projective Stiefel Manifolds
The cohomology algebra mod p of the complex projective Stiefel manifolds is determined for all primes p. When p = 2 we also determine the action of the Steenrod algebra and apply this to the problemExpand
Topology of Certain Quotient Spaces of Stiefel Manifolds
Abstract We compute the cohomology of the right generalised projective Stiefel manifolds. Following this, we discuss some easy applications of the computations to the ranks of complementary bundlesExpand
The canonical circle action on complex Stiefel manifolds is considered. The corresponding mod p index for all primes p is computed and some Borsuk–Ulam type theorems are proved.
Complex Cobordism and Stable Homotopy Groups of Spheres
An introduction to the homotopy groups of spheres Setting up the Adams spectral sequence The classical Adams spectral sequence $BP$-theory and the Adams-Novikov spectral sequence The chromaticExpand
Multiplicative structures on homotopy spectral sequences II
The paper summarizes the construction of pairings on some standard spectral sequences in algebraic topology.
Elements of Homotopy Theory
This chapter and the next are adapted from a lecture published in the Proceedings of the Third Physics Workshop, held at the Institute of Theoretical and Experimental Physics, Moscow, in 1975. TheyExpand
Differentials in the homological homotopy fixed point spectral sequence
We analyze in homological terms the homotopy fixed point spec- trum of a T-equivariant commutative S-algebra R. There is a homological homotopy fixed point spectral sequence with E 2 = H s gp (T;Expand
Stable homotopy and generalised homology
Preface Pt. I: S.P. Novikov's Work on Operations on Complex Cobordism 2: Cobordism groups 3: Homology 4: The Conner-Floyd Chern classes 5: The Novikov operations 6: The algebra of all operations 7:Expand
The relation of cobordism to k-theories
• November 2nd, 2006: Talk 1 by Marc Siegmund: This should be an introduction to bordism, tell us the geometric constructions and mention the ring structure of Ω ∗ . You might take the books ofExpand
Conditionally Convergent Spectral Sequences
Convergence criteria for spectral sequences are developed that apply more widely than the traditional concepts. In the presence of additional conditions that depend on data internal to the spectralExpand