Three-dimensional 2-framed TQFTS and surgery

Stephen F. Sawin

doi:10.1142/S0218216504003536

Three-dimensional 2-framed TQFTS and surgery

Stephen F. Sawin

Fairfield University

Research output: Contribution to journal › Article › peer-review

Abstract

The notion of 2-framed three-manifolds is defined. The category of 2-framed cobordisms is described, and used to define a 2-framed three-dimensional TQFT. Using skeletonization and special features of this category, a small set of data and relations is given that suffice to construct a 2-framed three-dimensional TQFT. These data and relations are expressed in the language of surgery.

Original language	American English
Journal	Journal of Knot Theory and Its Ramifications
Volume	13
DOIs	https://doi.org/10.1142/S0218216504003536
State	Published - Jan 1 2004

Keywords

TQFT
three-manifold
link invariants
Jones–Witten
Chern–Simons
framed three manifolds
surgery

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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10.1142/S0218216504003536License: CC BY

Three-dimensional 2-framed TQFTS and surgeryFinal published version, 258 KBLicense: CC BY

Cite this

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abstract = " The notion of 2-framed three-manifolds is defined. The category of 2-framed cobordisms is described, and used to define a 2-framed three-dimensional TQFT. Using skeletonization and special features of this category, a small set of data and relations is given that suffice to construct a 2-framed three-dimensional TQFT. These data and relations are expressed in the language of surgery.",

keywords = "TQFT, three-manifold, link invariants, Jones–Witten, Chern–Simons, framed three manifolds, surgery",

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AB - The notion of 2-framed three-manifolds is defined. The category of 2-framed cobordisms is described, and used to define a 2-framed three-dimensional TQFT. Using skeletonization and special features of this category, a small set of data and relations is given that suffice to construct a 2-framed three-dimensional TQFT. These data and relations are expressed in the language of surgery.

KW - TQFT

KW - three-manifold

KW - link invariants

KW - Jones–Witten

KW - Chern–Simons

KW - framed three manifolds

KW - surgery

UR - https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/21

U2 - 10.1142/S0218216504003536

DO - 10.1142/S0218216504003536

M3 - Article

VL - 13

JO - Journal of Knot Theory and Its Ramifications

JF - Journal of Knot Theory and Its Ramifications

ER -

Three-dimensional 2-framed TQFTS and surgery

Abstract

Keywords

Disciplines

Access to Document

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