THREE-DIMENSIONAL 2-FRAMED TQFTS AND SURGERY

Three-dimensional 2-framed TQFTS and surgery

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.

Two Dimensional Tqfts

On Picture (2+1)-tqfts

The goal of the paper is an exposition of the simplest (2 + 1)TQFTs in a sense following a pictorial approach. In the end, we fell short on details in the later sections where new results are stated and proofs are outlined. Comments are welcome and should be sent to the 4th author.

Three-dimensional endoscopic pituitary surgery.

OBJECTIVE We describe a novel 3-dimensional (3-D) stereoendoscope and discuss our early experience using it to provide improved depth perception during transsphenoidal pituitary surgery. METHODS Thirteen patients underwent endonasal endoscopic transsphenoidal surgery. A 6.5-, 4.9-, or 4.0-mm, 0- and 30-degree rigid 3-D stereoendoscope (Visionsense, Ltd., Petach Tikva, Israel) was used in all ...

Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras

We study a special sort of 2-dimensional extended Topological Quantum Field Theories (TQFTs). These are defined on open-closed cobordisms by which we mean smooth compact oriented 2-manifolds with corners that have a particular global structure in order to model the smooth topology of open and closed string worldsheets. We show that the category of open-closed TQFTs is equivalent to the category...