What areknots











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=RAojTyfN3io

Goal. • Explaining basic concepts of geometric topology in an intuitive way. • This time. • What are...knots? Or: Why knot?! • Disclaimer. • Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. • Disclaimer. • Geometric topology is usually the study of manifolds. This can mean manifold things ;-) So to be precise, this video series is mostly about knots, surfaces, three and four manifolds. • Slides. • http://www.dtubbenhauer.com/youtube.html • Website with exercises. • http://www.dtubbenhauer.com/lecture-g... • Thumbnail. • https://i.pinimg.com/474x/71/d6/b5/71... • Geometric topology. • https://en.wikipedia.org/wiki/Geometr... • https://en.wikipedia.org/wiki/List_of... • https://en.wikipedia.org/wiki/Manifold • https://en.wikipedia.org/wiki/Knot_(m...) • https://en.wikipedia.org/wiki/Surface...) • https://en.wikipedia.org/wiki/3-manifold • Concepts in geometric topology. • https://en.wikipedia.org/wiki/Knot_in... • https://en.wikipedia.org/wiki/Braid_g... • https://en.wikipedia.org/wiki/Euler_c... • https://en.wikipedia.org/wiki/Mapping... • https://en.wikipedia.org/wiki/Exotic_... • https://en.wikipedia.org/wiki/Poincar... • https://en.wikipedia.org/wiki/Thursto... • https://en.wikipedia.org/wiki/Cobordism • https://en.wikipedia.org/wiki/Unknott... • Applications of geometric topology. • https://physics.stackexchange.com/que... • https://mathoverflow.net/questions/48... • https://math.mit.edu/research/highsch... • Reidemeister theorem. • https://en.wikipedia.org/wiki/Reideme... • https://www.theoremoftheday.org/Topol... • https://encyclopediaofmath.org/wiki/R... • Wild knots. • https://en.wikipedia.org/wiki/Wild_knot • https://wildandnoncompactknots.wordpr... • https://core.ac.uk/download/pdf/34475... • Pictures used. • Pictures from    • What is...a demon knot?   • https://d3i71xaburhd42.cloudfront.net... • https://www.bookofproofs.org/graphics... • https://en.wikipedia.org/wiki/Brunnia... • https://upload.wikimedia.org/wikipedi... • https://wildandnoncompactknots.files.... • Some books I am using (I sometimes steal some pictures from there). • https://www.math.cuhk.edu.hk/course_b... • https://arxiv.org/abs/1610.02592?cont... • https://www.degruyter.com/document/do... • https://bookstore.ams.org/fourman • https://www.degruyter.com/document/do... • https://bookstore.ams.org/surv-55 • https://bookstore.ams.org/gsm-20 • KnotAtlas. • http://katlas.math.toronto.edu/wiki/T... • SnapPy. • https://snappy.math.uic.edu/ • Mathematica. • http://katlas.org/wiki/The_Mathematic... • https://demonstrations.wolfram.com/Ch... • SageMath. • https://doc.sagemath.org/html/en/refe... • #geometrictopology • #topology • #mathematics

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