A machine-checked solution to the Jacobians challenge
A machine-checked solution to the Jacobians challenge
Table of Contents
1.
How to validate this solution
2.
Conformance: Buzzard’s spec vs. this formalization
3.
holomorphic forms
4.
local multiplicity
5.
surfaces and charts
6.
mapping degree
7.
paths and integrals
8.
residue calculus
9.
jacobian construction
10.
projective line
11.
meromorphic and divisors
12.
meromorphic trace
13.
sphere topology
14.
cech cohomology
15.
form trace tower
16.
dbar solvability
17.
dolbeault comparison
18.
planar stokes atoms
19.
finiteness and chi
20.
canonical forms
21.
laurent tails
22.
monodromy
23.
residue theorem
24.
serre duality cech
25.
abel weak solutions
26.
proper map degree
27.
serre duality tails
28.
cech h1 genus
29.
riemann roch
30.
abel theorem
31.
genus zero headline
32.
period lattice rank
13.
sphere topology
13.1.
Keystones
13.2.
Builds on
13.3.
SphereTopology
13.4.
SphereTopology.GenusSphereBackward
13.5.
SphereTopology.GenusZeroOfSphere
13.6.
SphereTopology.SphereSimplyConnected
13.7.
SphereTopology.VanKampen
13.1.
Keystones
Source Code
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←
13. sphere topology
13.2. Builds on
→
13.1. Keystones
🔗
SphereSimplyConnected
GenusZeroOfSphere
←
13. sphere topology
13.2. Builds on
→