Comments for Geometry and the imagination
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Wed, 08 Feb 2017 20:26:06 +0000hourly1http://wordpress.com/Comment on Random groups contain surface subgroups by Henry Wilton
https://lamington.wordpress.com/2013/04/03/random-groups-contain-surface-subgroups/#comment-4601
Wed, 08 Feb 2017 20:26:06 +0000http://lamington.wordpress.com/?p=1973#comment-4601Yes: they’re certainly of infinite index.
]]>Comment on Liouville illiouminated by fun home
https://lamington.wordpress.com/2013/10/28/liouville-illiouminated/#comment-4525
Mon, 21 Nov 2016 23:52:39 +0000http://lamington.wordpress.com/?p=2058#comment-4525Hurrah! After all I got a web site from where I be
capable of genuinely take useful data regarding my study and knowledge.
]]>Comment on Agol’s Virtual Haken Theorem (part 1) by Geometric group theory (I) | Bahçemizi Yetiştermeliyiz
https://lamington.wordpress.com/2012/03/26/agols-virtual-haken-theorem-2/#comment-4464
Thu, 29 Sep 2016 04:25:40 +0000http://lamington.wordpress.com/?p=1581#comment-4464[…] fundamental groups, the Virtually Fibered Conjecture. That proof, in its entirety, involved an extraordinary sweep of ideas, and in part demonstrates the mathematical value of geometric group theory ideas in general and […]
]]>Comment on Slightly elevated Teichmuller theory by Higher Teichmüller Theory | Bahçemizi Yetiştermeliyiz
https://lamington.wordpress.com/2015/03/15/slightly-elevated-teichmuller-theory/#comment-4445
Sun, 18 Sep 2016 03:51:04 +0000http://lamington.wordpress.com/?p=2431#comment-4445[…] Danny Calegari exposits at more length on this moduli space on his blog. […]
]]>Comment on Kenyon’s squarespirals by Danny Calegari
https://lamington.wordpress.com/2013/01/13/kenyons-squarespirals/#comment-4380
Thu, 07 Jul 2016 11:21:40 +0000http://lamington.wordpress.com/?p=1867#comment-4380Hey Adam – (reply to your comment July 7 2016): thanks for the link. Beautiful images!
]]>Comment on Kenyon’s squarespirals by AdamP
https://lamington.wordpress.com/2013/01/13/kenyons-squarespirals/#comment-4379
Thu, 07 Jul 2016 07:58:13 +0000http://lamington.wordpress.com/?p=1867#comment-4379(years later!) A few months ago I finally found one (and then many) arrangements with no gaps. Using no theory at all. I’ve only drawn pictures of the first one so far. http://www.adamponting.com/double-rainbow-square-tiling/ I didn’t know what to call it. Where can I read about the theory of that kind of thing? It reminded me of the sqrt z conformal mapping. And I remembered Richard Kenyon had a pic of sqrt z with squares the is kind of similar. I asked about how that was drawn on stack exchange today, and was directed to this page. :-) Stuff has been added! Gee, probably the name Thurston meant nothing to me back then. Shameful. He keeps popping up everywhere nowadays! I’ve shown my gf a few of his films/lectures, and tried to explain what little I understand of his huge importance, and she adores him too now hehe.
]]>Comment on Hyperbolic Geometry Notes #5 – Mostow Rigidity by Mostow Rigidity: several proofs | Bahçemizi Yetiştermeliyiz
https://lamington.wordpress.com/2010/05/19/hyperbolic-geometry-notes-5-mostow-rigidity/#comment-4376
Mon, 04 Jul 2016 21:04:22 +0000http://lamington.wordpress.com/?p=1205#comment-4376[…] gives a proof using the Gromov norm and simplicial homology (see Calegari’s blog or Lücker’s thesis), which skips step 2 on the way to step […]
]]>Comment on Hyperbolic Geometry Notes #4 – Fenchel-Nielsen Coordinates by Arguments using moduli spaces: some examples | Bahçemizi Yetiştermeliyiz
https://lamington.wordpress.com/2010/04/18/hyperbolic-geometry-notes-4-fenchel-nielsen-coordinates/#comment-4374
Sat, 02 Jul 2016 17:43:17 +0000http://lamington.wordpress.com/?p=1199#comment-4374[…] surface. Indeed, we can put a set of (global!) 6g – 6 coordinates on Teichmüller space, the Fenchel-Nielsen coordinates, which we obtain by considering a set of 3g – 3 disjoint geodesics on our surface (a pants […]
]]>Comment on Schläfli – for lush, voluminous polyhedra by Danny Calegari
https://lamington.wordpress.com/2015/04/28/schlafli_for_lush_voluminous_polyhedra/#comment-4301
Sun, 27 Mar 2016 02:22:05 +0000http://lamington.wordpress.com/?p=2490#comment-4301You’re welcome! :)
]]>Comment on Schläfli – for lush, voluminous polyhedra by melissa
https://lamington.wordpress.com/2015/04/28/schlafli_for_lush_voluminous_polyhedra/#comment-4300
Sat, 26 Mar 2016 12:06:04 +0000http://lamington.wordpress.com/?p=2490#comment-4300Danny, this is beautiful. Thanks for sharing.
]]>Comment on Stiefel-Whitney cycles as intersections by ranicki
https://lamington.wordpress.com/2016/02/04/stiefel-whitney-cycles-as-intersections/#comment-4279
Fri, 26 Feb 2016 13:07:41 +0000http://lamington.wordpress.com/?p=2516#comment-4279Fair enough. At some later stage I may combine my notes and your blog – with credit of course, as I think the geometric properties of Steenrod squares are well worth writing up for graduate students of all ages! Best, A.
]]>Comment on Stiefel-Whitney cycles as intersections by Danny Calegari
https://lamington.wordpress.com/2016/02/04/stiefel-whitney-cycles-as-intersections/#comment-4278
Fri, 26 Feb 2016 12:40:05 +0000http://lamington.wordpress.com/?p=2516#comment-4278Dear Andrew – thanks for the kind offer. But I think this is just the sort of thing I like blogs for.

best, D

]]>Comment on Stiefel-Whitney cycles as intersections by ranicki
https://lamington.wordpress.com/2016/02/04/stiefel-whitney-cycles-as-intersections/#comment-4277
Thu, 25 Feb 2016 22:17:02 +0000http://lamington.wordpress.com/?p=2516#comment-4277What do you think of combining your blog entry and my notes into a short expository paper?
]]>Comment on Stiefel-Whitney cycles as intersections by Danny Calegari
https://lamington.wordpress.com/2016/02/04/stiefel-whitney-cycles-as-intersections/#comment-4275
Thu, 25 Feb 2016 12:18:39 +0000http://lamington.wordpress.com/?p=2516#comment-4275Thanks Andrew! The notes are very informative. In particular, the use of the external product with the tautological line bundle (to get Chern classes) is pretty close to the Steenrod squares construction.
]]>Comment on Stiefel-Whitney cycles as intersections by ranicki
https://lamington.wordpress.com/2016/02/04/stiefel-whitney-cycles-as-intersections/#comment-4274
Thu, 25 Feb 2016 09:02:04 +0000http://lamington.wordpress.com/?p=2516#comment-4274Worse: there was a typo in the original reply. It should have been the “mod 2 reduction of the Chern classes of a complex vector bundle”
]]>Comment on Stiefel-Whitney cycles as intersections by ranicki
https://lamington.wordpress.com/2016/02/04/stiefel-whitney-cycles-as-intersections/#comment-4273
Thu, 25 Feb 2016 09:00:08 +0000http://lamington.wordpress.com/?p=2516#comment-4273The previous reply was not meant to be anonymous! Andrew
]]>Comment on Stiefel-Whitney cycles as intersections by Anonymous
https://lamington.wordpress.com/2016/02/04/stiefel-whitney-cycles-as-intersections/#comment-4272
Thu, 25 Feb 2016 08:48:22 +0000http://lamington.wordpress.com/?p=2516#comment-4272The notes http://www.maths.ed.ac.uk/~aar/euler.pdf use Kreck’s derivation of the Chern and Stiefel-Whitney classes from the Euler class to prove the (well-known) identification of the mod 2 reduction of a complex vector bundle with the Stiefel-Whitney classes of the underlying real vector bundle.
]]>Comment on 3-manifolds everywhere by Danny Calegari
https://lamington.wordpress.com/2014/04/29/3-manifolds-everywhere/#comment-4265
Thu, 18 Feb 2016 18:17:54 +0000http://lamington.wordpress.com/?p=2185#comment-4265Hi Paul – not a problem. Best, D
]]>Comment on 3-manifolds everywhere by Paul Masham
https://lamington.wordpress.com/2014/04/29/3-manifolds-everywhere/#comment-4264
Thu, 18 Feb 2016 17:09:40 +0000http://lamington.wordpress.com/?p=2185#comment-4264OK, I take your point. It was an unfair question. I was just looking for your opinion of the most worthy area of pure maths to look at that would have most repercussions in the future. I suppose that that is an impossible question for anyone to answer.

Thanks for promoting the Taubes paper (and also for writing the other posts on this blog site). I look forward to investigating further!

Best wishes,

Paul.

]]>Comment on 3-manifolds everywhere by Danny Calegari
https://lamington.wordpress.com/2014/04/29/3-manifolds-everywhere/#comment-4263
Thu, 18 Feb 2016 16:18:36 +0000http://lamington.wordpress.com/?p=2185#comment-4263Hi Paul. No I can’t. I don’t think it makes sense to “rank” things that way, and the whole question is hopelessly subjective anyway.
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