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Low Dimensional Topology | Recent Progress and Open Problems | ldtopology.wordpress.com Reviews
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Recent Progress and Open Problems
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Recent coloured HOMFLYPT-related stuff | Low Dimensional Topology
https://ldtopology.wordpress.com/2015/05/22/recent-progress-in-coloured-homflypt-stuff
May 22, 2015. Recent coloured HOMFLYPT-related stuff. Filed under: Knot theory. 8212; dmoskovich @ 10:41 am. One of the main ways in which I keep my finger on the pulse of what is hot now in low dimensional topology is to write lots and lots of reviews, both for Zentralblatt MATH. And also for MathSciNet. In the last year or so, what has been increasingly coming through the pipe is papers about knot homology. There seems to be a lot happening in this field right now. 8211;dimensional Chern-Simons theory.
SnapPy 2.3 released | Low Dimensional Topology
https://ldtopology.wordpress.com/2015/03/22/snappy-2-3-released
March 22, 2015. SnapPy 2.3 released. 8212; Nathan Dunfield @ 2:25 pm. Marc Culler and I are pleased to announce version 2.3 of SnapPy. Major improvements to the link and planar diagram component. Including link simplification, random links, and better documentation. Basic support for spun normal surfaces. New extra features when used inside of Sage:. HIKMOT-style rigorous verification of hyperbolic structures. Contributed by Matthias Goerner. Many basic knot/link invariants. Lipschitz and Jennet Dickinson.
MOO is classical | Low Dimensional Topology
https://ldtopology.wordpress.com/2015/03/30/moo-is-classical
March 30, 2015. 8212; dmoskovich @ 9:43 am. The simplest quantum 3-manifold invariant is the Murakami-Ohtsuki-Okada (MOO) invariant. It comes from. Chern-Simons theory in the way that the. Reshetikhin-Turaev invariant comes from. Chern-Simons Theory. It has a closed formula in terms of the order of the first cohomology class of the. And an eighth root of unity. Witten’s Chern-Simons theory for gauge group. A recently published paper by Gelca and Uribe. Which is also the topic of a book by Gelca. I’...
Tangle diagram crossings and quantum entanglement | Low Dimensional Topology
https://ldtopology.wordpress.com/2015/07/28/tangle-diagram-crossings-and-quantum-entanglement
July 28, 2015. Tangle diagram crossings and quantum entanglement. 8212; dmoskovich @ 1:55 pm. In low dimensional topology we speak of tangles, while quantum physics speaks of entanglement. Similar words, but is there a deeper connection? Kauffman conjectured that the answer is yes. And I think he’s right, although maybe for other reasons). Glancing through arXiv this morning, I came across the following recent preprint:. Alagic, G., Jarret M., and Jordan S.P. But are inseparably intertwined in that they ...
Complex hyperbolic geometry of knot complements | Low Dimensional Topology
https://ldtopology.wordpress.com/2015/03/09/complex-hyperbolic-geometry-of-knot-complements
March 9, 2015. Complex hyperbolic geometry of knot complements. 8212; dmoskovich @ 3:41 am. This morning there was a paper which caught my eye:. Deraux, M. and Falbel, E. 2015 Complex hyperbolic geometry of the figure-eight knot. In it, the authors study a very different geometric structure for the figure-eight knot complement, as the manifold at infinity of a complex hyperbolic orbifold. The largest subbundle in the tangent bundle that is invariant under the complex structure) of. CR structures are very...
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Taipei Workshop in Lie Theory2008 | Gee's Learnig Magazine
https://ugeesana.wordpress.com/2008/09/16/taipei-workshop-in-lie-theory2008
Gee’s Learnig Magazine. Taipei Workshop in Lie Theory2008. September 16, 2008 at 4:57 am Posted in Activities. Taipei Workshop in Lie Theory 2008. Page url: http:/ www.math.sinica.edu.tw/chengsj/lie 2008.htm. Date: December 28-30, 2008. Venue: Institute of Mathematics, Academia Sinica, Taipei, Taiwan. Tomoyuki Arakawa (Nara Women’s University, Japan). Roman Bezrukavnikov* (MIT, USA). Alexander Braverman (Brown University, USA). Shun-Jen Cheng (Academia Sinica, Taiwan). Last year for more reference. You a...
berstein | Here there be dragons
https://berstein.wordpress.com/author/berstein
Here there be dragons. Exploring the subgroups of non-positively curved groups. Berstein is the name under which participants in the Berstein Seminar - a mathematics seminar at Cornell - are blogging. Farewell (and what did we miss? July 7, 2011. 8220;I believe in everything until it’s disproved. So I believe in fairies, the myths, dragons.” — John Lennon Our tour of subgroups of non–positively curved groups has reached its end. What did we miss? Cannon-Thurston maps for graphs of groups. July 3, 2011.
Applications of the Bestvina-Brady Theorem | Here there be dragons
https://berstein.wordpress.com/2011/04/07/applications-of-the-bestvina-brady-theorem
Here there be dragons. Exploring the subgroups of non-positively curved groups. Groups having finitely many conjugacy classes of finite order elements. A sketch of a proof of the Bestvina–Brady Theorem →. Applications of the Bestvina-Brady Theorem. April 7, 2011. This post and the next will be mostly based on a 1996 paper by Mladen Bestvina and Noel Brady,. Morse theory and finiteness properties of groups. Their main result (. The Bestvina–Brady Theorem. Be the collection of vertices of. If there exists a.
Groups having finitely many conjugacy classes of finite order elements | Here there be dragons
https://berstein.wordpress.com/2011/03/30/groups-having-finitely-many-conjugacy-classes-of-finite-order-elements
Here there be dragons. Exploring the subgroups of non-positively curved groups. Finiteness properties, Brown’s criterion and its application to Bieri-Stallings groups. Applications of the Bestvina-Brady Theorem →. Groups having finitely many conjugacy classes of finite order elements. March 30, 2011. This post is based on a guest talk by Matt Clay. 1 How finite is this group? One way to measure how close a group is to being finite is by the finiteness property. For example, let. Where the generators of.
Bala-bala Lie algebras | Gee's Learnig Magazine
https://ugeesana.wordpress.com/2008/08/16/bala-bala-lie-algebras
Gee’s Learnig Magazine. August 16, 2008 at 1:40 am Posted in Math Learning. Introduction to Lie algebras and Representation Theory, translated by Jui-Ji Chang. Gee was so happy to met Jyun-Ao. A student of Shun-Jen. Remind me to pick my memory about Lie algebras… It had been several years since I was struggle for knowing what’s the key math touch my mind. Lie algebras was really a unexpected beauty for me. The history of me to touch Lie algebras maybe an accident(or not)…. Beginning, Wen Long Lin. To kno...
meta – NP-Incompleteness
https://kunigami.blog/category/meta
Notes on programming and computer science. This is a meta-post to review what happened in 2016. This year I improved my knowledge on Web Development, learning more about HTTPS. I read a book about human-computer interaction, The Design of Everyday Things. From my last year’s resolutions. I finished reading Code Complete. I’ve started learning about OCaml. Purely Functional Data Structures. I’ve only managed to try out one data visualization project, the hex map. Then I had an opportunity to work for a mo...
data visualization – NP-Incompleteness
https://kunigami.blog/category/computer-science/data-visualization
Notes on programming and computer science. US as an hexagonal map. In this post we’ll study a way to visualize maps in a hexagonal grid, in which each entity have uniform area. We’ll then model that as a mathematical problem. That used hexagons and it looked very neat, so I decided to try building it in D3 and perform some analysis. Below is the result of plotting the state populations (log scale):. US Hexmap: Population (log scale). The score from the NPR maps is 0.67. Representing our grid, find the in...
2016 in Review – NP-Incompleteness
https://kunigami.blog/2017/01/01/2016-in-review
Notes on programming and computer science. This is a meta-post to review what happened in 2016. This year I improved my knowledge on Web Development, learning more about HTTPS. I read a book about human-computer interaction, The Design of Everyday Things. From my last year’s resolutions. I finished reading Code Complete. I’ve started learning about OCaml. Purely Functional Data Structures. I’ve only managed to try out one data visualization project, the hex map. Then I had an opportunity to work for a mo...
https://kunigami.wordpress.com/tag/purely-funcional-data-structures/ – NP-Incompleteness
https://kunigami.blog/tag/httpskunigami-wordpress-comtagpurely-funcional-data-structures
Notes on programming and computer science. Tag: https:/ kunigami.wordpress.com/tag/purely-funcional-data-structures/. Streams and Lazy Evaluation in OCaml. In this short post we’ll discuss lazy evaluation in OCaml and study a data structure called. It’s based mainly on chapter 4 of. Purely Functional Data Structures. And it’s part of a series of study notes. Source: Flickr – Brian Gratwicke. In the book the author defines a notation for lazy evaluation:. Datatype a susp = $ of a. Type 'a t = 'a lazy t.
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Linux Distribution testing - on old computers
Linux Distribution testing - on old computers. Saturday, April 25, 2009. Two kinda old Dells. My grandparents sent me their old Dells, Dimension 3000 and a Dimension 4600. I'll get to work on them when I get back from vacation. Wednesday, January 28, 2009. Oofleschmoop has a good copy of DSL. I got the CF card (10$) and the CF card adapter (20$), and I put a liveusb copy of DSL on there and put them in Oofleschmoop, so now I have him running. Kinda. This shouldn't be a problem. Thursday, January 15, 2009.
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Low Dimensional Topology | Recent Progress and Open Problems
December 19, 2017. Computation in geometric topology. 8212; Nathan Dunfield @ 10:40 am. Complete lecture videos for last week’s workshop. Computation in Geometric Topology. At Warwick are now posted on YouTube. The complete list of talks with abstracts and video links is here. September 14, 2017. What is the complexity of the homeomorphism problem? 8212; dmoskovich @ 4:19 am. G Kuperberg, Algorithmic homeomorphism of. Manifolds as a corollary of geometrization. This paper contains two results:. Result (1...
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