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Volume 52, Issue 3, 2016, pp. 249–270
DOI: 10.4171/PRIMS/180

Published online: 2016-11-14

A Non-trivial Ghost Kernel for Complex Projective Spaces with Symmetries

Markus Szymik[1]

(1) Norwegian University of Science and Technology (NTNU), Trondheim, Norway

It is shown that the ghost kernel for certain equivariant stable cohomotopy groups of projective spaces is non-trivial. The proof is based on the Borel cohomology Adams spectral sequence and the calculations with the Steenrod algebra a orded by it.

Keywords: equivariant stable homotopy theory, Borel cohomology, Steenrod algebra, Adams spectral sequence

Szymik Markus: A Non-trivial Ghost Kernel for Complex Projective Spaces with Symmetries. Publ. Res. Inst. Math. Sci. 52 (2016), 249-270. doi: 10.4171/PRIMS/180