Youtor
What isthe Alexander polynomial
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=rq5eamuDz_0
Goal. • Explaining basic concepts of geometric topology in an intuitive way. • This time. • What is...the Alexander polynomial? Or: Alexander-Conway skein calculus. • 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://en.wikipedia.org/wiki/Alexand... • 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... • Some knots. • https://en.wikipedia.org/wiki/Unknot • https://en.wikipedia.org/wiki/Trefoil... • https://en.wikipedia.org/wiki/Figure-...) • Alexander polynomial. • https://en.wikipedia.org/wiki/Alexand... • https://mathworld.wolfram.com/Alexand... • • Introduction to the Alexander Polynomial • Alexander and knot detection. • https://arxiv.org/abs/math/0604084 • https://arxiv.org/abs/math/0311496 • Pictures used. • https://upload.wikimedia.org/wikipedi... • https://en.wikipedia.org/wiki/Helix#/... • https://en.wikipedia.org/wiki/Alexand... • https://mathworld.wolfram.com/images/... • https://mathworld.wolfram.com/images/... • https://en.wikipedia.org/wiki/Trefoil... • https://en.wikipedia.org/wiki/Trefoil... • 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
#############################
