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211123-165941: On to tangles! (5)
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  221214-121653: The homology reduced Gassner representation.
  221207-131543: Intersection numbers in twisted homology (9).
  221128-125305: Intersection numbers in twisted homology (8).
  221121-125616: Intersection numbers in twisted homology (7).
  221118-081503: Intersection numbers in twisted homology (6).
  221109-115137: Intersection numbers in twisted homology (5).
  221107-115534: Intersection numbers in twisted homology (4).
  221031-132935: Intersection numbers in twisted homology (3).
  221031-132930: Intersection numbers in twisted homology (2).
  221031-132915: Intersection numbers in twisted homology.
  221019-115945: $\Gamma$-calculus (8).
  221019-113952: $\Gamma$-calculus (7).
  221003-131518: $\Gamma$-calculus (6).
  221003-125053: $\Gamma$-calculus (5).
  220929-132009: $\Gamma$-calculus (4).
  220920-131331: $\Gamma$-calculus (3).
  220908-135316: $\Gamma$-calculus (2).
  220906-115552: $\Gamma$-calculus.
  220823-121143: Unitarity for groupoid representations (5).
  220816-113312: Unitarity for groupoid representations (4).
  220816-111340: Unitarity for groupoid representations (3).
  220816-105958: Unitarity for groupoid representations (2).
  220816-104557: Unitarity for groupoid representations.
  220809-104022: Gassner as a functor (3).
  220804-130344: Gassner as a functor (2).
  220804-125927: Gassner as a functor.
  220606-144534: Gassner for a single crossing.
  220316-140256: LinAlg issue.
  211214-122202: Recovering Gassner from $H_1$ (3).
  211214-115545: Recovering Gassner from $H_1$ (2).
  211130-172819: Recovering Gassner from $H_1$.
  211123-165941: On to tangles! (5)
  211123-164720: On to tangles! (4)
  211123-161727: On to tangles! (3)
  211116-164408: On to tangles! (2)
  211116-163123: On to tangles!
  211102-155035: The structure of the cup-product matrix (9).
  211026-153454: The structure of the cup-product matrix (8).
  211019-154103: The structure of the cup-product matrix (7).
  211012-153813: The structure of the cup-product matrix (6).
  211005-153836: The structure of the cup-product matrix (5).
  210928-160007: The structure of the cup-product matrix (4).
  210928-154030: The structure of the cup-product matrix (3).
  210921-160425: The structure of the cup-product matrix (2).
  210914-164623: The structure of the cup-product matrix.
  210701-170112: Completing the Kirk argument (6).
  210701-170111: Completing the Kirk argument (5).
  210701-170110: Completing the Kirk argument (4).
  210630-113540: Supervisory Meeting (2).
  210630-113539: Supervisory Meeting.
  210624-165821: Completing the Kirk argument (3).
  210624-165820: Completing the Kirk argument (2).
  210624-165819: Completing the Kirk argument.
  210604-195914: Computing cup products (4).
  210528-110135: Computing cup products (3).
  210528-104400: Computing cup products (2).
  210517-100249: Computing cup products.
  210507-092613: More cohomology computations (5).
  210507-092100: More cohomology computations (4).
  210507-091439: More cohomology computations (3).
  210429-152437: More cohomology computations (2).
  210415-160909: More cohomology computations.
  210208-164014: Cap products (2).
  210208-163929: Cap products.
  201211-153735: The twisted homology of $\partial X$.
  201105-173823: Reading Kirk's email (2).
  201105-170312: Reading Kirk's email.
  201020-161550: Homological representations (2).
  201020-161519: Homological representations.
  200811-165033: A split sequence?
  200729-155915: Crash recovery.
  200724-160451: A crucial statement in Kassel-Turaev (6).
  200720-154713: A crucial statement in Kassel-Turaev (5).
  200720-154633: A crucial statement in Kassel-Turaev (4).
  200715-155330: A crucial statement in Kassel-Turaev (3).
  200709-173838: A crucial statement in Kassel-Turaev (2).
  200703-160731: A crucial statement in Kassel-Turaev.
  200626-132922: $H_1({\mathbb R}^2,{\mathbb Z}^2)$.
  200626-132921: The map $\pi_1\to H_1$ is homomorphic (3).
  200617-134608: The map $\pi_1\to H_1$ is homomorphic (2).
  200615-153139: The map $\pi_1\to H_1$ is homomorphic.
  200610-170726: Back to $\tilde{H}$ (7).
  200610-170702: Back to $\tilde{H}$ (6).
  200608-155824: Back to $\tilde{H}$ (5).
  200601-153318: Back to $\tilde{H}$ (4).
  200527-160353: Back to $\tilde{H}$ (3).
  200525-154821: Back to $\tilde{H}$ (2).
  200525-154403: Back to $\tilde{H}$.
  200518-155434: The n-puncture case.
  200513-170219: The relations between the $\alpha_n$'s (2).
  200513-170218: The relations between the $\alpha_n$'s.
  200504-150105: The Abelianization of a kernel (6).
  200429-163709: The Abelianization of a kernel (5).
  200423-171420: The Abelianization of a kernel (4).
  200423-171419: Implementing Fox derivatives.
  200417-170148: Back to $\tilde{H}$.
  200417-170053: The Abelianization of a kernel (3).
  200417-165539: The Abelianization of a kernel (2).
  200415-170946: The Abelianization of a kernel.
  200411-144200: $\tilde{H}$ in Kassel-Turaev 3.2.1 (2).
  200407-152413: $\tilde{H}$ in Kassel-Turaev 3.2.1.
  200404-150338: Relative homology (2).
  200404-150149: Relative homology.
  200330-160014: Back to Kassel-Turaev 3.2.1 (3).
  200330-155613: Back to Kassel-Turaev 3.2.1 (2).
  200330-152542: Back to Kassel-Turaev 3.2.1.
  200328-154555: The intersection form (2).
  200328-153721: The intersection form.
  200327-160234: The boundary of an intersection (2).
  200324-154112: The boundary of an intersection.
  200320-161700: Kassel-Turaev Section 3.2.1 (2).
  200320-155143: Kassel-Turaev Section 3.2.1.
  200311-190547: Reading Kirk's email (3).
  200311-190226: Reading Kirk's email.
  200311-190225: Reading Kirk's email (2).
  200305-175134: Poincare Duality (2).
  200303-165933: Poincare Duality.
  200226-131424: Supervisory meeting.
  200217-151739: Poincare duality (6).
  200217-145718: Poincare duality (5).
  200211-131421: Poincare duality (4).
  200211-131325: Poincare duality (3).
  200211-131236: Poincare duality (2).
  200211-131200: Poincare duality.
  200211-130942: Compositions in homological representations.
  200204-121538: Computing the braid action.
  200128-131445: A basis for $H^1(X_0,p;F)$ (7).
  200122-130202: A basis for $H^1(X_0,p;F)$ (6).
  200122-125435: A basis for $H^1(X_0,p;F)$ (5).
  200122-123958: A basis for $H^1(X_0,p;F)$ (4).
  200113-095920: A basis for $H^1(X_0,p;F)$ (3).
  200113-095732: A basis for $H^1(X_0,p;F)$ (2).
  200113-094125: A basis for $H^1(X_0,p;F)$.
  200108-124443: Recovering Gassner.
  191218-143753: KLW Lemma 2.1 (4).
  191218-141338: KLW Lemma 2.1 (3).
  191212-124601: KLW Lemma 2.1 (2).
  191212-124044: KLW Lemma 2.1.
  191212-122710: KLW proposition 2.3 (5).
  191127-143639: KLW proposition 2.3 (4).
  191127-142330: KLW proposition 2.3 (3).
  191122-122727: KLW proposition 2.3 (2).
  191122-120738: KLW proposition 2.3.
  191122-115709: Homology with local coefficients (9).
  191122-114933: Homology with local coefficients (8).
  191119-143238: Homology with local coefficients (7).
  191113-131640: Homology with local coefficients (6).
  191111-135011: Homology with local coefficients (5).
  191111-133731: Homology with local coefficients (4).
  191111-131110: Homology with local coefficients (3).
  191029-190114: Homology with local coefficients.
  191029-185533: Homology with local coefficients (2).
  191024-190322: String links and homotopy.
  191017-190302: Back to Burau! (2)
  191017-185709: Back to Burau!
  191017-184327: The chain rule in free groups (13).
  191017-183549: The chain rule in free groups (12).
  191010-192125: The chain rule in free groups (11).
  191010-191543: The chain rule in free groups (10).
  191010-184437: The chain rule in free groups (9).
  191003-192708: The chain rule in free groups (8).
  190930-184527: The chain rule in free groups (7).
  190930-184112: The chain rule in free groups (6).
  190930-181243: The chain rule in free groups (5).
  190923-184744: The chain rule in free groups (4).
  190923-181359: The chain rule in free groups (3).
  190916-184930: The chain rule in free groups (2).
  190916-182333: The chain rule in free groups.
  190827-154127: The Burau representation (5).
  190816-160159: The Burau representation (4).
  190816-155111: The Burau representation (3).
  190816-153738: The Burau representation (2).
  190816-151604: The Burau representation.
  190812-163442: The intuition behind combing (3).
  190628-163014: The intuition behind combing (2).
  190627-154010: The intuition behind combing.
  190625-160848: Identifying $U_{n+1}$ (3).
  190624-142251: Identifying $U_{n+1}$ (2).
  190621-145402: Identifying $U_{n+1}$.
  190621-143519: Semi-direct products (3).
  190617-163131: Semi-direct products (2).
  190617-162401: Semi-direct products.
  190614-162610: Combing braids.
  190612-165447: The Artin representation (2).
  190612-163621: The Artin representation.
  190607-145027: The Wirtinger presentation (3).
  190606-145456: The Wirtinger presentation (2).
  190603-154606: The Wirtinger presentation.
  190603-153211: Braids and automorphisms of the free group (3).
  190521-175423: Braids and automorphisms of the free group (2).
  190517-153121: Braids and automorphisms of the free group.
  190513-153437: Configuration space (3).
  190513-152238: Configuration space (2).
  190509-153548: Configuration space.
  190507-173236: Braid groups (4).
  190507-172228: Braid groups (3).
  190507-170558: Braid groups (2).
  190503-153151: Braid groups.
  181119-155135: Rotation numbers.
  180926-172206: Topological manifolds.
  180919-180404: $SL(n)$ is a manifold.
  180919-172936: Two patches for $S^1$.
  180912-193411: A non-Hausdorff near-manifold (2).
  180912-185856: A non-Hausdorff near-manifold.
  180904-180351: The Seifert matrix (5).
  180904-171431: The Seifert matrix (4).
  180828-174029: The Seifert matrix (3).
  180828-172554: The Seifert matrix (2).
  180820-183658: The Seifert matrix.
  180815-193444: The Seifert algorithm.
  180807-164117: Surfaces and caravans.
  180731-165422: A proof of R3?
  180712-163148: Figuring our equivalence classes.
  180704-182703: Back to Alexander.
  180704-175450: Dehn and Wirtinger.
  180625-173523: Finding the faces.
  180619-170744: The Dehn presentation.
  180619-164925: The Alexander module.
  180619-163122: From edges to faces.
  180613-170456: Invariance of Alexander's Alexander (2).
  180613-164244: Invariance of Alexander's Alexander.
  180613-163316: Implementing Alexander's Alexander.
  180613-161721: Face-virtual knots.
  180528-172914: Alexander's Alexander polynomial (2).
  180528-172005: Alexander's Alexander polynomial.
  171109-165132: Finitely generated Abelian groups and Gaussian elimination.
  171030-165027: Distributing cows (4).
  171017-181218: From triangulations to trees.
  171010-184222: Tilings.
  171004-173750: Distributing cows (3).
  171004-171718: Distributing cows (2).
  170929-171750: Cutting the plane by straight lines.
  170929-164520: Distributing cows.
  170925-180255: Sylow (3).
  170925-175119: Sylow (2).
  170922-180430: Sylow.
}
Notes for BBS/Afeke-211123-165941.jpg:    [edit]