{"PAI" -> "Perturbed Alexander-Burau Invariants. DPG code from \
PerturbedHeisenberg2.nb at <a \
href=\"../../Classes/21-1350-KnotTheory/index.html\">pensieve://Classes/21-13\
50-KnotTheory/</a>. Continued <a \
href=\"../../Projects/APerturbedAlexanderInvariant/index.html\">pensieve://Pr\
ojects/APerturbedAlexanderInvariant/</a>.", "Rho1-3-100" -> "Perturbed \
Alexander-Burau Invariants. DPG code from PerturbedHeisenberg2.nb at <a \
href=\"../../Classes/21-1350-KnotTheory/index.html\">pensieve://Classes/21-13\
50-KnotTheory/</a>. Continued <a \
href=\"../../Projects/APerturbedAlexanderInvariant/index.html\">pensieve://Pr\
ojects/APerturbedAlexanderInvariant/</a>.", 
 "BAG" -> "The matrices $B$, $A$, and $G$ for the trefoil knot.", 
 "PABI-InBack" -> "Perturbed Alexander-Burau Invariants. Continues \
Pensieve://2021-12/, but with the perturbation placed ahead of the bulk.", 
 "OtherAlexanders" -> 
  "Other near-Wirtinger matrices to produce the Alexander polynomial.", 
 "APAI-220128" -> 
  "A Perturbed Alexander Invariant, with formulas from PABI-InBack.nb.", 
 "Experiments" -> "A Perturbed Alexander Invariant, with formulas from \
PABI-InBack.nb. Development and experiments notebook.", 
 "RVK" -> "Conversion into the RVK (Rotational Virtual Knot) presentation.", 
 "MakeData3-14" -> "Compute and store &rho;, Kh, and HOMFLYPT for knots with \
up to 14 crossings", "SimpleInverses" -> "The two-point function and  the \
modified two-point function both have simple inverses.", 
 "Invariance2" -> "Invariance proof by Roland.", 
 "Rot" -> "Computing rotation numbers. Based on Common.nb at <a \
href=\"../../Classes/21-1350-KnotTheory/index.html\">pensieve://Classes/21-13\
50-KnotTheory/</a>.", "APAI-220609" -> 
  "Mathematica notebook for A Perturbed Alexander Invariant.", 
 "index" -> "This is the index file for the APAI project.", 
 "Playing-220818" -> "Playing near $\\rho_1$.", 
 "APAI-Expand" -> "Same as APAI.nb, but with Expand replacing Factor.", 
 "APAI - Other R" -> 
  "Mathematica notebook for A Perturbed Alexander Invariant, with revised \
Rs.", "AlexanderExperiments" -> 
  "Alexander Experiments: Modifying the A Matrix.", 
 "AAT" -> "$A$ - $A^T$ experiments.", 
 "GGI" -> "Failed $G$ - $G-I$ experiments.", 
 "GGbar" -> "Failed $G$ - $\\bar{G}$ experiments.", 
 "Lashings-230105" -> " The Lashings Matrix.", 
 "GGT" -> " Comparing $G$ and $G^T$.", "Lashings" -> " The Lashings Matrix.", 
 "ColouredA" -> "Just colour-coded $A$-matrices.", 
 "APAILinks" -> 
  "A version of $\\rho_1$ for links with some testing, by Roland.", 
 "Palindromicity" -> "Palindromicity by flipping and manipulating.", 
 "Palindromicity-GaussianLanguage-231219" -> "Palindromicity by flipping and \
manipulating, in Gaussian integration language.", 
 "Palindromicity-MatrixLanguage" -> 
  "Palindromicity by flipping and manipulating, in matrix language.", 
 "Palindromicity-GaussianLanguage-231220" -> "Palindromicity by flipping and \
manipulating, in Gaussian integration language.", 
 "Palindromicity-GaussianLanguage" -> "Palindromicity by flipping and \
manipulating, in Gaussian integration language.", 
 "PerturbedGaussianIntegration-231222" -> "Computing and playing with \
$\\rho_1$ in the language of perturbed Gaussian Integration.", 
 "Playing-231222" -> "The top row of $G$ isn't friendly.", 
 "PerturbedGaussianIntegration-240103" -> "Computing and playing with \
$\\rho_1$ in the language of perturbed Gaussian Integration.", 
 "PerturbedGaussianIntegration-Invariance" -> "Invariance of  $\\rho_1$ in \
the language of perturbed Gaussian Integration.", 
 "APAI-Positivity" -> "Roland checking Joe Boninger's conjecture that for a \
closure of a positive braid the coefficients of $\\rho_1$ are all positive. \
Continued <a \
href=\"../../Talks/Oaxaca-2210/Rho_d-Positivity.nb\">pensieve://Talks/Oaxaca-\
2210/Rho_d-Positivity.nb</a>.", "Rho1NotLogConcave" -> " With Joe Boninger: \
$\\rho_1$ is not log-concave even on alternating knots. Continues <a \
href=\"../../2023-03/index.html\">pensieve://2023-03/</a> (for Alexander).", 
 "APAILinks2" -> "APAI for links, using the adjugate matrix (by Roland).", 
 "APAI-InvarianceForLinks" -> 
  "Mathematica notebook for A Perturbed Alexander Invariant.", 
 "APAI" -> "Mathematica notebook for A Perturbed Alexander Invariant.", 
 "PerturbedGaussianIntegration" -> "Computing and playing with $\\rho_1$ in \
the language of perturbed Gaussian Integration."}
