Mathematics – Geometric Topology
Scientific paper
2001-09-05
Mathematics
Geometric Topology
32 pages. 42 Figures For Proceedings of The First International Workshop on "Graphs -- Operads -- Logic, Cuautitlan, Mexico, M
Scientific paper
Talk 1: Open problems in knot theory that everyone can try to solve. Knot theory is more than two hundred years old; the first scientists who considered knots as mathematical objects were A.Vandermonde (1771) and C.F.Gauss (1794). However, despite the impressive grow of the theory, there are simply formulated but fundamental questions, to which we do not know answers. I will discuss today several such open problems, describing in detail the 20 year old Montesinos-Nakanishi conjecture. Our problems lead to sophisticated mathematical structures (I will describe some of them in tomorrows talks), but today's description will be absolutely elementary. Talk 2: Lagrangian approximation of Fox $p$-colorings of tangles. The talk will culminate in the introduction of the symplectic structure on the boundary of a tangle in such a way that tangles yields Lagrangians in the symplectic space. Talk 3: Historical Introduction to Skein Modules. I will discuss, in my last talk of the conference, skein modules, or as I prefer to say more generally, algebraic topology based on knots. I would like to discuss today, in more detail, skein modules related to the (deformations) of 3-moves and the Montesinos-Nakanishi conjecture but first I will give the general definition and I will make a short tour of the world of skein modules.
No associations
LandOfFree
Three talks in Cuautitlan under the general title: Topología algebraica basada sobre nudos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Three talks in Cuautitlan under the general title: Topología algebraica basada sobre nudos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three talks in Cuautitlan under the general title: Topología algebraica basada sobre nudos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-715224