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- W1569203497 abstract "We use the Blanchfield-Duval form to define complete invariants for the cobordism group C_{2q-1}(F_mu) of (2q-1)-dimensional mu-component boundary links (for qgeq2). The author solved the same problem in math.AT/0110249 via Seifert forms. Although Seifert forms are convenient in explicit computations, the Blanchfield-Duval form is more intrinsic and appears naturally in homology surgery theory. The free cover of the complement of a link is constructed by pasting together infinitely many copies of the complement of a mu-component Seifert surface. We prove that the algebraic analogue of this construction, a functor denoted B, identifies the author's earlier invariants with those defined here. We show that B is equivalent to a universal localization of categories and describe the structure of the modules sent to zero. Taking coefficients in a semi-simple Artinian ring, we deduce that the Witt group of Seifert forms is isomorphic to the Witt group of Blanchfield-Duval forms." @default.
- W1569203497 created "2016-06-24" @default.
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- W1569203497 date "2009-12-22" @default.
- W1569203497 modified "2023-10-14" @default.
- W1569203497 title "Invariants of boundary link cobordism II. The Blanchfield-Duval form" @default.
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- W1569203497 doi "https://doi.org/10.1017/cbo9780511526381.014" @default.
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