Oriented and unitary equivariant bordism of surfaces
type: Item
instance of: scholarly article
title: Oriented and unitary equivariant bordism of surfaces
author: Andrés Angel
author: Eric Samperton
author: Carlos Segovia
author: Bernardo Uribe
published in: Algebraic \& Geometric Topology
publication date: 2024-08-26T00:00:00Z
review text: The paper presents the explicit calculation of the unitary and oriented bordism groups of smooth \(G\)-equivariant compact surfaces, where \(G\) is finite group. The authors' approach involves analyzing fixed point representations and the Bogomolov multipliers of Weyl groups. The link between \(2\)-dimensional \(SK\)-groups and equivariant bordism is potentially impactful. Another valuable addition is the alternative proof of the non-bounding property of surfaces with free actions.
reviewed by: M. Bakuradze
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 57R75
Mathematics Subject Classification ID: 57R77
Mathematics Subject Classification ID: 57R85
zbMATH DE Number: 7901549
zbMATH Keywords: equivariant bordism
zbMATH Keywords: equivariant vector bundle
zbMATH Keywords: surface
MaRDI profile type: Publication
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DOI: 10.2140/AGT.2024.24.1623
description: scientific article; zbMATH DE number 7901549