Oriented and unitary equivariant bordism of surfaces (Q6593007)

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.