Fixed point sets and orbit spaces of wedge of three spheres

DOI10.1016/j.topol.2024.108856arXiv2303.16484OpenAlexW4391775543MaRDI QIDQ6150398

Dimpi, Hemant Kumar Singh

Publication date: 6 March 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.16484

zbMATH Keywords

fixed point setsfibrationLeray-Serre spectral sequenceorbit spacestotally nonhomologous to zero

Mathematics Subject Classification ID

Finite transformation groups (57S17) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Cites Work

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• \(\mathbb Z _2\) actions on complexes with three non-trivial cells
• Fixed points of circle actions on spaces with rational cohomology of \(S^n\vee S^2n\vee S^{3n}\) or \(P^2(n)\vee S^{3n}\)
• Transformation groups
• On the existence of \(G\)-equivariant maps
• Fixed point free actions of spheres and equivariant maps
• The cohomology ring structure of a fixed point set
• Fixed point free involutions and equivariant maps
• Z p Actions on Spaces of Cohomology Type (a, 0)
• GROUP ACTIONS ON COHOMOLOGY PROJECTIVE PLANES AND PRODUCTS OF SPHERES
• The cohomology rings of the orbit spaces of free transformation groups of the product of two spheres
• THE COHOMOLOGY RING OF ORBIT SPACES OF FREE -ACTIONS ON SOME DOLD MANIFOLDS
• Cohomology Ring of the Orbit Space of Certain Free Z p -Actions
• FREE ACTIONS OF SOME COMPACT GROUPS ON MILNOR MANIFOLDS
• Periodic Transformations on the Product of Two Spheres
• Fixed-Point Theorems for Periodic Transformations

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