2-Tangles as a Free Braided Monoidal 2-Category with Duals 1997


     Related Videos

     Related Hubpages

    Field: More fields of sc...  DOWNLOAD  BOOKMARK REPORT
    •  Doc. Url:    Embed Code: 

    • citeseer  status
      (0) (0 Votes)
      		Views: (1007)   Date: (13-05-09)   Pages: ()

    • Author:  by Gerhard Gierz  Laurel Tamara  Laurel Tamara  Fearnley Langford  Fearnley Langford  Laurel Tamara Fearnley Langford  

    • Abstract:  OF THE DISSERTATION 2-Tangles as a Free Braided Monoidal 2-Category with Duals by Laurel Tamara Fearnley Langford Doctor of Philosophy, Graduate Program in Mathematics University of California, Riverside, August, 1997 Professor John Baez, Chairperson The algebraic characterization of tangles by Freyd, Turaev and Yetter has led to the discovery of new invariants for links. In this dissertation, we prove an analogous result one dimension higher: that the 2-category of unframed, unoriented 2-tangles is the free semistrict braided monoidal 2-category with duals on one unframed self dual object. We give appropriate definitions of the 2-category of 2-tangles, and of duality for monoidal and braided monoidal 2-categories. We use the movie moves of Carter, Rieger and Saito, to show that there is a 2-functor from this 2-category to any braided monoidal 2-category with duals containing an unframed self dual object. Knotted surfaces in 4-space are naturally included in this characterization, sinc...

         Related Documents

           Related Groups

             Related Science News

             More on Sciencestage

             Answers

             News
        • Kellogg to buy Pringles for $2.7 billion
          (Reuters) - Kellogg Co agreed to buy Pringles potato chips for $2.7 billion in a cash deal that makes the cereal company second only to PepsiCo Inc in the global snack food market. The transaction also marks the final exit of household products maker Procter & Gamble Co from the food business after its earlier deal to sell Pringles to Diamond Foods Inc fell apart. The deal was gobbled up on Wall ...
        • Guild Wars 2: Everything We Know
          Guild Wars 2 takes place approximately 250 years after the events of the Guild Wars: Eye of the North expansion. The evil dragon Zhaitan has risen and formed an army of the undead which threatens all of the mortal races of Tyria , the world in which Guild Wars is set.
        • 2,400 same-sex marriages under new state law
          About 2,400 same-sex couples were married outside New York City since the state's same-sex marriage law took effect in July, about 7 percent of the total number of weddings.
        • Inside the First Missions of Prototype 2 [Preview]
          Prototype 2 Screenshot
        • Singapore Q4 GDP contracts s/adj, annualised 2.5 pct q/q
          * Q4 GDP -2.5 s/adj q/q annualised vs concensus of -2.3 pct * Q4 GDP +3.6 pct y/y vs consensus forecast of +4.3 pct * Singapore economy grew 4.9 pct in 2011 * Q3 GDP growth was revised upwards SINGAPORE, Feb 16 (Reuters) - Singapore's Ministry ofTrade and Industry on Thursday released detailed estimates forfourth quarter 2011 gross domestic product (GDP): ACTUAL GDP (PCT CHANGE) Period Q4/2011 ...
        • Briefs 2/16/12
          Briefs 2/16/12
        • 2,100 women seek treatment for mutilation
          More than 2,100 women and girls in London have sought hospital treatment for genital mutilation over the past six years, figures revealed today.
        • US Air Force gives U-2 spy plane another lease on life
          The aging U-2 spy plane of Cold War fame has avoided retirement and will stay in the air until 2025, the Air Force said Monday, because the costly drone due to replace it turned out to be less effective.
        • 2 American Airlines senior executives to retire
          American Airlines says two senior vice presidents are retiring from the company, which plans to lay off 13,000 workers in a bankruptcy reorganization.
        • Australian Stock Market Report - Afternoon 2/16/2012
          MARKET CLOSE (4.30pm AEDT) The Australian sharemarket had its worst day of 2012 today, with the All Ordinaries Index (XAO) slumping by 1.6 pct or 70.2 pts to 4257.2. It was

             Related on Wikipedia




























         

        Powered free by PHPmotion