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130506-154354: Bracelets.
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  200425-192517: Some diamonds (3).
  200425-173535: Some diamonds (2).
  200425-172053: Some diamonds.
  170407-144452: Morse isotopies.
  170407-142215: OU tangles.
  170124-172233: Brunnian 2-links.
  170124-165749: The perforate map.
  170124-163313: Branch point free Roseman theory.
  170124-161109: The Yoshikawa moves.
  160518-144411: The Goeritz group.
  160518-142908: The Burnside $B(2,5)$ group and the Goeritz group.
  160518-141647: On GPV.
  160518-135452: Brunnian 2-component 2-links (2).
  160505-142127: Brunnian 2-component 2-links.
  160505-133641: A surjection from the free group to knot theory (3).
  160505-133230: A surjection from the free group to knot theory (2).
  160505-132926: A surjection from the free group to knot theory.
  160505-132044: Two linked unknots have a good projection.
  150616-140007: 1324-avoiding permutations.
  150519-170656: The $\gamma_{ij}$ representation.
  150512-154513: The fundamental group of the trefoil is a braid group.
  150416-154651: MacMahon's formula (2).
  150407-165500: MacMahon's formula.
  150320-151053: Mapping flat braids to w-braids with $2n$ strands.
  150320-145559: Artin'.
  150320-144036: Braids on the annulus.
  150305-170952: Canonical forms for curves on surfaces (3).
  150305-170255: Canonical forms for curves on surfaces (2).
  150223-140318: Canonical forms for curves on surfaces.
  150129-170351: A possible canonical form for knots.
  150129-163655: A simplified faithfulness proof.
  150108-175300: The Swidler notation.
  141219-150025: Quandles and Hopf words.
  141219-143333: Combing at the curve-diagram level.
  141212-144156: zhe on the level of arrow diagrams.
  141113-160254: The Bardakov representation in a tiny rectangle.
  141104-153628: Converting homotopies to isotopies. (more...)
  141017-125012: Tethering.
  140910-173507: $f:vB_n\times I_n\to vB_n$.
  140828-172551: The Goeritz Group.
  140820-084428: Modifying the Bardakov representation (2) - corrected.
  140819-170409: Modifying the Bardakov representation (2). (more...)
  140819-164542: Modifying the Bardakov representation.
  140801-115534: $VB_n$ acts faithfully...
  140725-113934: A random problem.
  140703-180804: New reduction rules.
  140626-162744: About Gassner (2).
  140626-161545: About Gassner.
  140619-132006: Towards automaticity of $B_n$ (2).
  140619-130939: Towards automaticity of $B_n$.
  140604-162357: The definition of automatic groups.
  140521-140708: Acting on the left (2).
  140521-133625: Acting on the left.
  140515-142755: A case of the diamond lemma.
  140515-135757: Diamond lemma preamble.
  140515-133952: The Goeritz groups.
  140515-133414: A 2-ring trick.
  140507-140037: More on Harer-Zagier.
  140507-133658: Groupings.
  140430-134453: Simple decker sets to w-knots, also on the infinitesimal level.
  140422-105652: Harer-Zagier (4).
  140422-104316: Harer-Zagier (3).
  140422-103839: Harer-Zagier (2).
  140422-103252: Harer-Zagier.
  140320-153436: Being parallel.
  140313-151042: Planar matchings (3).
  140313-145834: Planar matchings (2).
  140313-144623: Planar matchings.
  140306-150211: Well-definededness of the action.
  140211-151202: The virtual fundamental meta-group (2).
  140206-132404: The virtual fundamental meta-group.
  140206-114427: Trying to show that v-braids inject into v-tangles.
  140128-115104: R2 and R3 for virtual curve diagrams.
  140114-124447: A step by step plan.
  131216-150717: The case of ordinary braids (3).
  131216-145741: The case of ordinary braids (2).
  131216-143348: The case of ordinary braids.
  131112-105420: Manturov's representation of the virtual braid group (4).
  131112-104356: Manturov's representation of the virtual braid group (3).
  131112-102024: Manturov's representation of the virtual braid group (2).
  131112-101459: Manturov's representation of the virtual braid group.
  131012-120842: Braids and graphs (2).
  131012-113819: Braids and graphs.
  130926-163426: Semi-group actions.
  130910-153816: $\sigma$-diagrams.
  130826-153829: The braid group is automatic?
  130801-163852: Proving the injectivity of Artin's representation.
  130801-162437: The diamond lemma.
  130715-154812: Artin systems and v-Artin systems (5).
  130715-153416: Artin systems and v-Artin systems (4).
  130705-160009: Artin systems and v-Artin systems (3).
  130702-154659: Artin systems and v-Artin systems (2).
  130621-155855: Artin systems and v-Artin systems.
  130621-153629: v-braids and Hopf words (2).
  130614-114754: v-braids and Hopf words.
  130614-110918: Planar representations of braids (2).
  130614-103402: Planar representations of braids.
  130610-160754: Round flat knots.
  130509-153910: The free group modulo the braid group.
  130506-170221: Long virtual knots.
  130506-164120: Conjugacy classes in F_n modulo braid actions.
  130506-154354: Bracelets.
  130506-153345: Unknotting operation in 4D.
  130422-151722: 2 simple curves = chord diagrams.
  130401-172059: SC meeting.
  130307-142308: The Baumslag-Solitar group is non-Hopfian (2).
  130307-135458: The Baumslag-Solitar group is non-Hopfian. (more...)
  130227-161949: Hopfian groups.
  130215-140130: Matrices and quadratics.
  130213-165727: Meta-conjugacy-classes.
  121218-150646: Kanenobu's conjecture (2).
  121218-144311: Kanenobu's conjecture. (more...)
  121211-143453: Knots that are ribbon in multiple ways.
  121121-153420: Triangulations and multi-curves (2).
  121114-165832: Triangulations and multi-curves.
  121101-084420: $\pi_2$ and ribbon braids.
  121031-164550: The fundamental group of a non-ribbon 2-knot.
  121024-153737: A non-ribbon 2-knot.
  121003-152900: Is ${\mathcal K}^{bh}_{\text{all}}$ a finitely generated MGA?
  120919-170659: September 19 notes.
  120905-154614: There is a knotted 4-punctured sphere whose boundary is the unlink, but there isn't such a 3-punctured sphere.
  120821-152726: Untangled stack presentations.
  120807-151732: One-line stack presentations (3).
  120731-171704: One-line stack presentations (2).
  120731-165500: Analyzing the Carter-Saito 2-knot (3).
  120731-164442: Analyzing the Carter-Saito 2-knot (2).
  120731-163914: Analyzing the Carter-Saito 2-knot.
  120724-155713: One-line stack presentations.
  120716-155118: Plumbing in ${\mathbb R}^4$ (2).
  120704-152002: Plumbing in ${\mathbb R}^4$.
  120628-165934: Stack presentations (8), and the $\pi_1$ and $\pi_2$ story.
  120618-152703: Stack presentations (7).
  120525-134509: Stack presentations (6).
  120517-160250: Stack presentations (5).
  120517-153600: Stack moves to R moves.
  120510-161654: Stack presentations (4).
  120510-151741: Stack presentations (3).
  120503-160037: Stack presentations (2).
  120426-153125: Stack presentations.
  120406-133930: Spinning a ribbon 1-knot.
  120406-120255: The Nakanishi-Nakagawa example (14).
  120406-120206: The Nakanishi-Nakagawa example (13).
  120406-120115: The Nakanishi-Nakagawa example (12).
  120406-120013: The Nakanishi-Nakagawa example (11).
  120406-115826: The Nakanishi-Nakagawa example (10).
  120406-115731: The Nakanishi-Nakagawa example (9).
  120406-115635: The Nakanishi-Nakagawa example (8).
  120406-115341: The Nakanishi-Nakagawa example (7).
  120406-115200: The Nakanishi-Nakagawa example (6).
  120406-114822: The Nakanishi-Nakagawa example (5).
  120406-114626: The Nakanishi-Nakagawa example (4).
  120406-114516: The Nakanishi-Nakagawa example (3).
  120406-114331: The Nakanishi-Nakagawa example (2).
  120406-114229: The Nakanishi-Nakagawa example.
  120406-113653: A word-presentation for w-knots.
  120327-090626: Seifert surfaces and ribbon knots.
  120326-130432: SC Meeting.
  120209-161652: The paper by Travis Schedler (5)
  120203-092039: The paper by Travis Schedler (4)
  120202-154639: The paper by Travis Schedler (3)
  120123-175516: The paper by Travis Schedler (2)
  120120-150234: The paper by Travis Schedler (more...)
  111215-164429: The bracket in the Lie bi-algebra of curves (2).
  111209-141446: The bracket in the Lie bi-algebra of curves.
  111201-165327: A chord-diagram algorithm to decide the simplicity of plane curves.
  111125-160312: Surfaces with circle boundary (2).
  111117-182218: Surfaces with circle boundary.
  111110-180409: Homotoping plane curves.
  111104-103416: Turning ribbon singularities into clasp singularities.
  111004-162300: Reading Blake Winter.
  110923-170815: A hyperbolic picture of the free group.
  110630-160804: PairingCycles.
  110623-160414: The Turaev Quantization (2).
  110623-152836: The Turaev Quantization. (more...)
  110616-154345: Simplifying crossingless virtual knots.
  110607-155801: The two types of forced intersections.
  110512-151854: Obstructions to planarity.
  110505-153348: The Lie Bialgebra of Curves.
  110419-140741: Kuratowski-style obstructions to simplicity of curves.
  110413-145804: Some quotients of the hyperbolic plane.
  110413-142856: The Birman-Series Simplicity Algorithm (2).
  110329-142547: The Birman-Series Simplicity Algorithm. (more...)
  110322-152236: Planar curves and free groups (2).
  110322-145141: Planar curves and free groups.
  110310-140400: Planarity of curves (2).
  110308-164010: Planarity of curves. (more...)
  110222-143847: A w-Borromean braid.
  110208-150040: Combinatorial planes and Artin's theorem.
  110127-143209: Questions on planar representations of braids (2).
  110111-135253: Finite type for Catalans.
  110111-132853: Questions on planar representations of braids.
  101218-140640: Planar Morse curves (3).
  101208-162356: Planar Morse curves (2).
  101202-170249: Planar Morse curves.
  101125-171326: Simple curves in the n-punctured disk (3).
  101118-172850: Simple curves in the n-punctured disk (2).
  101111-180032: Simple curves in the n-punctured disk.
  101028-171722: Claspers.
  101022-090322: Reading Belavin-Drinfel'd.
  101014-175219: Manin triples and the "big bracket". (more...)
  100930-174525: Some basics of Lie bialgebras (3).
  100930-171830: Some basics of Lie bialgebras (2).
  100924-121247: Some basics of Lie bialgebras.
  100826-134508: R2-trivial plane curves.
  100819-160557: A non-realizable circle diagram.
  100813-141103: Gauss diagrams for ribbon handlebodies.
  100813-135437: Ribbon diagrams, ribbon handlebodies and Gauss diagrams for immersed surfaces.
  100805-151028: Gauss diagrams for immersed surfaces.
  100805-144347: Broken surfaces and ribbon handlebodies (2).
  100729-170308: Broken surfaces and ribbon handlebodies. (more...)
  100714-141059: The duality between the coefficients of the Alexander polynomial and wheels.
  100714-133508: The bialgebra of ribbon knots.
  100707-114711: The star presentation, cycles and wheels.
  100630-152252: The star presentation.
  100630-150302: Review of finite-type.
  100630-144741: Moves on ribbon handlebodies. (more...)
  100525-150826: Renormalizing the Alexander polynomial.
  100525-142135: Review of the Alexander polynomial.
  100517-150612: The Alexander polynomial of a ribbon 2-knot is of finite type.
  100517-145200: The Alexander polynomial of a ribbon 2-knot.
  100517-143734: The fundamental group of a ribbon 2-knot (2).
  100517-142417: The fundamental group of a ribbon 2-knot.
  100510-144232: The definition of finite type.
  100510-143120: The definition of ribbon 2-knots (2).
  100510-141822: The definition of ribbon 2-knots. (more...)
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Notes for BBS/Chterental-130506-154354.jpg:    [edit]