ScholarLens Back to search
2023•arXiv (Cornell University)Open access

The $RO(C_3)$-graded Bredon cohomology of $C_3$-surfaces in $\underline{\mathbb{Z}/3}$-coefficients

Kelly Pohland

Open full text 0 citations

Abstract

Using an equivariant surgery classification, we compute the $RO(C_3)$-graded Bredon cohomology of all $C_3$-surfaces in constant $\mathbb{Z}/3$-coefficients as modules over the cohomology of a fixed point. We show that the cohomology of a given $C_3$-surface is determined by a handful of topological invariants and is directly determined by the construction of the surface via equivariant surgery.

Open-access reader

About this research paper

What this paper is about

Using an equivariant surgery classification, we compute the $RO(C_3)$-graded Bredon cohomology of all $C_3$-surfaces in constant $\mathbb{Z}/3$-coefficients as modules over the cohomology of a fixed point. We show that the cohomology of a given $C_3$-surface is determined by a handful of topological invariants and is directly determined by the construction of the surface via equivariant surgery.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Using an equivariant surgery classification, we compute the $RO(C_3)$-graded Bredon cohomology of all $C_3$-surfaces in constant $\mathbb{Z}/3$-coefficients as modules over the cohomology of a fixed point. We show that the cohomology of a given $C_3$-surface is determined by a handful of topological invariants and is directly determined by the construction of the surface via equivariant surgery.

Key concepts: Cohomology, Equivariant cohomology, Mathematics, Equivariant map, Surface (topology), Pure mathematics, Point (geometry), Group cohomology

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The $RO(C_3)$-graded Bredon cohomology of $C_3$-surfaces in $\underline{\mathbb{Z}/3}$-coefficients — Research Paper | ScholarLens