Integral lattices in TQFT

Patrick M. Gilmer; Gregor Masbaum

Displaying similar documents to “Integral lattices in TQFT”

A TQFT for Wormhole cobordisms over the field of rational functions

Patrick Gilmer (1998)

Banach Center Publications

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We consider a cobordism category whose morphisms are punctured connected sums of $S^{1} \times S^{2}$ ’s (wormhole spaces) with embedded admissibly colored banded trivalent graphs. We define a TQFT on this cobordism category over the field of rational functions in an indeterminant A. For r large, we recover, by specializing A to a primitive 4rth root of unity, the Witten-Reshetikhin-Turaev TQFT restricted to links in wormhole spaces. Thus, for r large, the rth Witten-Reshetikhin-Turaev invariant of a link...

Quantum invariants of links and 3-valent graphs in 3-manifolds

Vladimir Turaev (1993)

Publications Mathématiques de l'IHÉS

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On the kauffman bracket skein algebra of parallelized surfaces

Pierre Sallenave (2000)

Annales scientifiques de l'École Normale Supérieure

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Dotted links, Heegaard diagrams, and colored graphs for PL 4-manifolds.

Maria Rita Casali (2004)

Revista Matemática Complutense

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The present paper is devoted to establish a connection between the 4-manifold representation method by dotted framed links (or -in the closed case- by Heegaard diagrams) and the so called crystallization theory, which visualizes general PL-manifolds by means of edge-colored graphs. In particular, it is possible to obtain a crystallization of a closed 4-manifold M⁴ starting from a Heegaard diagram (#_m(S¹ x S^2...