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- W4286434510 abstract "Witten constructed topological invariants of manifolds by introducing actions depending only on smooth structures of the manifold without using a metric. He focused on an example of Chern-Simons’ theory on 3D manifolds. Slawianowski based his field theory on frame/coframe fields without a metric. A Witten-type topological invariant can be introduced in Slawianowski’s framework, using an integral over the reper fields. Such invariant behaves differently for group manifolds than for all others. It additionally distinguishes semi-simple Lie group manifolds from other group manifolds. Further study of this new invariant is needed, including possible generalizations to other field theories." @default.
- W4286434510 created "2022-07-22" @default.
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- W4286434510 date "2022-07-15" @default.
- W4286434510 modified "2023-09-25" @default.
- W4286434510 title "Topological Invariant of Manifolds in Sławianowski’s Field Theory" @default.
- W4286434510 doi "https://doi.org/10.2172/1876771" @default.
- W4286434510 hasPublicationYear "2022" @default.
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