Orientations of \(Spin\) bundles and symplectic cobordism

DOI10.2977/prims/1195168855zbMath0797.55003OpenAlexW2072052054MaRDI QIDQ1318878

Vassily Gorbunov, Nigel Ray

Publication date: 12 April 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195168855

zbMATH Keywords

projective spacessymplectic cobordismThom complexes

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

Related Items

Characteristic classes and transfer relations in cobordism ⋮ Transferred characteristic classes and generalized cohomology rings ⋮ Nilpotence in the symplectic bordism ring ⋮ On vanishing of all fourfold products of the Ray classes in symplectic cobordism ⋮ The transfer and symplectic cobordism

Cites Work

• Massey products in MSp* and its application
• Computation of the symplectic cobordism ring in dimensions up to 32 and nontriviality of majority of triple products of Ray elements
• The symplectic Lazard ring
• The transfer map and fiber bundles
• Clifford modules
• The relation of cobordism to K-theories
• Indecomposables in Tors MSp
• SYMPLECTIC COBORDISM WITH SINGULARITIES
• The symplectic cobordism ring. I
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