• Corpus ID: 242757609

Oriented and unitary equivariant bordism of surfaces

  title={Oriented and unitary equivariant bordism of surfaces},
  author={Andr{\'e}s Jim{\'e}nez {\'A}ngel and Eric Samperton and Carlos Segovia and Bernardo Uribe},
Fix a finite group G. We study Ω 2 and Ω 2 , the unitary and oriented bordism groups of smooth G-equivariant compact surfaces, respectively, with the restriction that in the oriented case G must have odd order. We calculate explicitly these bordism groups. Their ranks are determined by the possible representations around fixed points, while their torsion subgroups are isomorphic to the direct sum of the Bogomolov multipliers of the Weyl groups of representatives of conjugacy classes of all… 


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