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MetaGroups, MetaBicrossedProducts, and the Alexander Polynomial
http://sms.cam.ac.uk/media/1393656
BarNatan, D (University of Toronto)
Thursday 17 January 2013, 14:0016:00
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MetaGroups, MetaBicrossedProducts, and the Alexander Polynomial
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MetaGroups, MetaBicrossedProducts, and the Alexander Polynomial
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MetaGroups, MetaBicrossedProducts, and the Alexander Polynomial
BarNatan, D (University of Toronto)
Thursday 17 January 2013, 14:0016:00
Wed, 23 Jan 2013 13:41:05 +0000
Isaac Newton Institute
BarNatan, D
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BarNatan, D (University of Toronto)
Thursday 17 January 2013, 14:0016:00
BarNatan, D (University of Toronto)
Thursday 17 January 2013, 14:0016:00
Cambridge University
5400
http://sms.cam.ac.uk/media/1393656
MetaGroups, MetaBicrossedProducts, and the Alexander Polynomial
BarNatan, D (University of Toronto)
Thursday 17 January 2013, 14:0016:00
I will define "metagroups" and explain how one specific metagroup, which in itself is a "metabicrossedproduct", gives rise to an "ultimate Alexander invariant" of tangles, that contains the Alexander polynomial (multivariable, if you wish), has extremely good composition properties, is evaluated in a topologically meaningful way, and is leastwasteful in a computational sense. If you believe in categorification, that's a wonderful playground.
This will be a repeat of a talk I gave in Regina in August 2012 and in a number of other places, and I plan to repeat it a good further number of places. Though here at the Newton Institute I plan to make the talk a bit longer, giving me more time to give some further fun examples of metastructures, and perhaps I will learn from the audience that these metastructures should really be called something else. The slides of the talk are availble here: http://www.math.toronto.edu/~drorbn/Talks/Newton1301/#Talk2.
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