The decomposability of \(\mathbb Z_2\)-manifolds in cut-and-paste equivalence

DOI10.3836/tjm/1202136675zbMath1154.57035OpenAlexW2058610182MaRDI QIDQ932975

Katsuhiro Komiya

Publication date: 21 July 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1202136675

zbMATH Keywords

Euler characteristicfinite abelian groups\(G\)-manifoldsInvolutioncutting and pastingFixed point set

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Transformation groups and semigroups (topological aspects) (54H15) Finite transformation groups (57S17)

Cites Work

• Unnamed Item
• Cutting and pasting of pairs
• On the homomorphism between the equivariant SK ring and the Burnside ring for involution
• Cutting and pasting of families of submanifolds modeled on Z\(_2\)-manifolds
• Cutting and pasting of manifolds into \(G\)-manifolds
• Equivariant cutting and pasting of \(G\) manifolds
• The divisibility in the cut-and-paste group of \(G\)-manifolds and fibring over the circle within a cobordism class
• Cutting and pasting of involutions and fiberings over the circle within a bordism class
• A homomorphism between an equivariant SK ring and the Burnside ring for \(Z_4\)
• CUTTING, PASTING AND THE DOUBLES OF MANIFOLDS WITH BOUNDARY
• EQUIVARIANT SK INVARIANTS ON Z2r MANIFOLDS WITH BOUNDARY
• CUTTING AND PASTING OF G MANIFOLDS WITH BOUNDARY
• SK INVARIANTS ON CLOSED Z2r MANIFOLDS
• SK GROUPS OF MANIFOLDS WITH BOUNDARY
• EQUIVARIANT SK GROUP OF MANIFOLDS WITH BOUNDARY

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