Work

Inertia groups of high-dimensional complex projective spaces

Year: 2018

Type: article

Abstract: For a complex projective space the inertia group, the homotopy inertia group and the concordance inertia group are isomorphic. In complex dimension 4n+1, these groups are related to computations in stable cohomotopy. Using stable homotopy theory, we make explicit computations to show that the inertia group is non-trivial in many cases. In complex dimension 9, we deduce some results on geometric structures on homotopy complex projective spaces and complex hyperbolic manifolds.

Source: Algebraic & Geometric Topology

DOI: 10.2140/agt.2018.18.387

Authors: Samik Basu, Ramesh Kasilingam

Institutions: Indian Association for the Cultivation of Science, Indian Statistical Institute, Bangalore Centre

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2199474792

FWCI:

Cites: 22

Cited by: 3

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