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Blogs about: 3 Manifolds

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two and three dimensional manifolds2 comments

juanmarqz wrote 1 month ago: when any someone who is asked to comment about: how many surface’s shapes are there? he or she … more →

Tags: Math, low-dimensional topology, Topology, non-orientable, mobius strip, klein bottle

Genus two Heegaard splittings

Jesse Johnson wrote 1 month ago: I’ve been distracted away from blogging in the last few months, but there have been some recen … more →

Tags: Heegaard splittings

can you see a solid torus?

juanmarqz wrote 1 month ago: The image on the right is a solid torus with four lateral annulus in colours: orange, green, yellow … more →

Tags: Topology, Fiber bundle, low-dimensional topology, Mobius Band, Torus, toro sólido, genus one handlebody, 3-variedad, solid Klein bottle

Quasimorphisms from knot invariants2 comments

Danny Calegari wrote 1 month ago: Last week, Michael Brandenbursky from the Technion gave a talk at Caltech on an interesting connecti … more →

Tags: groups, 4-ball genus, Braids, Cochran-Orr-Teichner, knot concordance, quasimorphisms, Ribbon, SIGNATURE, slice

congreso nacional de la Sociedad Matemática Mexicana

juanmarqz wrote 1 month ago: Esta próxima semana del 12-16 de octubre tendremos Congreso Nacional (mexicano) de Matemáticas, el 4 … more →

Tags: sum of reciprocals, Differential Geometry, What Is Math, mathematics, Catalan numbers, CUCEI, cucei math, Congreso Nacional de Matemáticas, Seifert bundle

a non orientable 3d-manifold with boundary3 comments

juanmarqz wrote 2 months ago: Mö x I The picture on the right is representation and a description of its parts of  a 3d chunk, it … more →

Tags: Fiber bundle, Geometry, Topology, low-dimensional topology, Italian, non-orientable, Möbius, mobius strip, I-bundle

Hamilton Geometry and Topology Workshop

Nathan Dunfield wrote 2 months ago: I’m currently in Dublin for the Hamilton Geometry and Topology Workshop. The theme this year i … more →

Tags: Computation and experiment, Heegaard splittings, Hyperbolic geometry, Virtual Haken Conjecture

Do all curves over finite fields have covers with a sqrt(q) eigenvalue?6 comments

JSE wrote 2 months ago: On my recent visit to Illinois, my colleage Nathan Dunfield (now blogging!) explained to me the foll … more →

Tags: bad statistics, Math, algebraic curves, Algebraic Geometry, arithmetic geometry, finite fields, finite groups, Frobenius, Heuristics

Some thoughts on the Kirby Theorem7 comments

dmoskovich wrote 2 months ago: I don’t think it would be too controversial to assert that the Kirby Theorem is an important t … more →

Tags: Dehn surgery, Mapping class groups, quantum topology

Topology fun and games1 comment

Nathan Dunfield wrote 2 months ago: Jeff Weeks, the author of SnapPea, has written some new educational games this year that are highly … more →

Tags: Hyperbolic geometry, Pedagogy, Computation and experiment

Forms of the Virtual Haken Conjecture3 comments

Nathan Dunfield wrote 3 months ago: Daniel Moskovich suggested that, in light of the recent advances, I summarize the state of the Virtu … more →

Tags: Hyperbolic geometry, Virtual Haken Conjecture

More on the Virtual Haken Conjecture and friends.5 comments

Nathan Dunfield wrote 3 months ago: Nicolas Bergeron and Dani Wise posted an interesting preprint “A boundary criterion for cubula … more →

Tags: Hyperbolic geometry, Geometric Group Theory, Virtual Haken Conjecture

Second variation formula for minimal surfaces7 comments

Danny Calegari wrote 3 months ago: If is a smooth function on a manifold , and is a critical point of , recall that the Hessian is the … more →

Tags: surfaces, Hessian, Jacobi operator, mean curvature, minimal surface, morse theory, Riemannian Geometry, second variation formula, simple loop conjecture

SnapPy: Computing with hyperbolic 3-manifolds for fun and profit7 comments

Nathan Dunfield wrote 3 months ago: This post is so Marc Culler and I can announce SnapPy, a computer program for studying hyperbolic st … more →

Tags: Hyperbolic geometry

The geometry of Heegaard splittings

Jesse Johnson wrote 3 months ago: The basic tenet of Thurston’s approach to 3-manifolds is the idea that the topology of a 3-man … more →

Tags: WYSIWYG topology, Heegaard splittings

New LDT blogger: Daniel Moskovich

dmoskovich wrote 3 months ago: Hajimemashite. My name is Daniel Moskovich, and I’m a JSPS postdoc at RIMS in Kyoto University … more →

Tags: Knot theory, quantum topology

New LDT blogger: Nathan Dunfield1 comment

Nathan Dunfield wrote 3 months ago: Hello all. Jesse has invited me to blog occasionally here at the premier geometric topology blog. I … more →

Tags: Hyperbolic geometry, Virtual Haken Conjecture

Surface subgroups - more details from Jeremy Kahn

Danny Calegari wrote 3 months ago: Jeremy Kahn kindly sent me a more detailed overview of his argument with Vlad Markovic, that I blogg … more →

Tags: ergodic theory, surfaces, Kahn, markovic, pair of pants, surface groups

Surface subgroups in hyperbolic 3-manifolds7 comments

Danny Calegari wrote 3 months ago: I just learned from Jesse Johnson’s blog that Vlad Markovic and Jeremy Kahn have announced a p … more →

Tags: ergodic theory, surfaces, Bowen, geodesic flow, Hall's marriage theorem, Kahn, lerf, markovic, pair of pants


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