Wideo CompanionThe wClips Seminar is a series of weekly wideotaped meetings at the University of Toronto, systematically going over the content of the WKO paper section by section.
Announcements.
small circle, UofT, LDT Blog (also here). Email Dror to join our mailing list!
Resources. How to use this site, Dror's notebook, blackboard shots.
Date
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Links
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Jan 11, 2012
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120111-1: Introduction. 120111-2: Section 2.1 - v-Braids.
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Jan 18, 2012
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120118-1: An introduction to this web site. 120118-2: Section 2.2 - w-Braids by generators and relations and as flying rings. 120118-3: Section 2.2 - w-Braids - other drawing conventions, "wens".
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Jan 25, 2012
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120125-1: Section 2.2.3 - basis conjugating automorphisms of . 120125-2: A very quick introduction to finite type invariants in the "u" case.
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Feb 1, 2012
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120201: Section 2.3 - finite type invariants of v- and w-braids, arrow diagrams, 6T, TC and 4T relations, expansions / universal finite type invariants.
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Feb 8, 2012
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120208: Review of u,v, and w braids and of Section 2.3.
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Feb 15, 2012
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120215: Section 2.5 - mostly compatibilities of Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Z^w}
, also injectivity and uniqueness of .
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Feb 22, 2012
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120222: Section 2.5.5, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha:{\mathcal A}^u\to{\mathcal A}^v}
, and Section 3.1 (partially), the definition of v- and w-knots.
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Feb 29, 2012
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120229: Sections 3.1-3.4: v-Knots and w-Knots: Definitions, framings, finite type invariants, dimensions, and the expansion in the w case.
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Mar 7, 2012
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120307: Section 3.5: Jacobi diagrams and the bracket-rise theorem.
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Mar 14, 2012
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120314: Section 3.6 - the relation with Lie algebras.
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Mar 21, 2012
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120321: Section 4 - Algebraic Structures.
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Mar 28, 2012
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Out-of-sequence not-on-tape we watched the video of Talks: GWU-1203.
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Apr 4, 2012
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120404: Section 3.7 - The Alexander Theorem (statement).
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Apr 18, 2012
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120418: Aside on the Euler trick, the differential of Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \exp}
, and the BCH formula.
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Apr 25, 2012
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120425: Section 3.8, a disorganized lecture towards the proof of the Alexander theorem.
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May 2, 2012
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120502: Section 4: Algebraic structures (review), circuit algebras, v- and w-tangles.
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May 10, 2012
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120510: Sections 5.1 and 5.2: tangles, their projectivization and its relationship with Alekseev-Torossian spaces.
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May 23, 2012
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120523: Section 5.2: Proof of the relationship with A-T spaces.
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May 30, 2012
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120530: Interpreting as a universal space of invariant tangential differential operators.
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Group photo on January 11, 2012: DBN, ZD, Stephen Morgan, Lucy Zhang, Iva Halacheva, David Li-Bland, Sam Selmani, Oleg Chterental, Peter Lee.
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