On vanishing of all fourfold products of the Ray classes in symplectic cobordism

Authors :: Malkhaz Bakuradze
Source :: Proceedings of the American Mathematical Society. 148:4107-4115
Publication Year :: 2020
Publisher :: American Mathematical Society (AMS), 2020.
Abstract: This note provides certain computations with transfer associated with projective bundles of Spin vector bundles. One aspect is to revise the proof of the main result of \cite{B} which says that all fourfold products of the Ray classes are zero in symplectic cobordism.<br />7 pages

Subjects :: Physics
Pure mathematics
Classifying space
Applied Mathematics
General Mathematics
Zero (complex analysis)
Vector bundle
Cobordism
Transfer (group theory)
Mathematics::Algebraic Geometry
FOS: Mathematics
55N22
Algebraic Topology (math.AT)
Mathematics - Algebraic Topology
Mathematics::Symplectic Geometry
Euler class
Spin-½
Symplectic geometry

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