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Abstract
Infinite Primes and Motives
Introduction
What Are The Deep Problems?
TGD Background
Homology And Cohomology Theories Based On Groups Algebras For A Hierarchy Of Galois Groups Assigned To Polynomials Defined By Infinite Primes
PAdic Integration And Cohomology
Topics Related To TGDString Theory Correspondence
PAdic SpaceTime Sheets As Correlates For Boolean Cognition
Some Backgbround About Homology And Cohomology
Basic Ideas Of Algebraic Geometry
Algebraization Of Intersections And Unions Of Varieties
Motivations For Motives
Examples Of Cohomologies
Etale Cohomology And LAdic Cohomology
Crystalline Cohomology
Motivic Cohomology
Infinite Rationals Define Rational Functions Of Several Variables: A Possible Number Theoretic Generalization For The Notions Of Homotopy, Homology, And Cohomology
Infinite Rationals And Rational Functions Of Several Variables
Galois Groups As NonCommutative Analogs Of Homotopy Groups
Generalization Of The Boundary Operation
Could Galois Groups Lead To Number TheoreticalGeneralizations Of Homology And Cohomology Groups?
What Is The Physical Interpretation Of The Braided Galois Homology
Is There A Connection With The Motivic Galois Group?
Motives And Twistor Approach Applied To TGD
Number Theoretic Universality, Residue Integrals, AndSymplectic Symmetry
How To Define The PAdic Variant For The Exponent Of K\"ahler Action?
Motivic Integration
How Could One Calculate PAdic Integrals Numerically?
Infinite Rationals And Multiple Residue Integrals As Galois Invariants
Twistors, Hyperbolic 3Manifolds, And Zero Energy Ontology
Floer Homology And TGD
Trying To Understand The Basic Ideas Of Floer Homology
Could Floer Homology Teach Something New About Quantum TGD?
Could GromovWitten Invariants And Braided Galois Homology Together Allow To Construct WCW Spinor Fields?
GromovWitten Invariants
GromovWitten Invariants And Topological String Theory Of Type A
GromovWitten Invariants And WCW Spinor Fields In Zero Mode Degrees Of Freedom
KTheory, Branes, And TGD
Brane World Scenario
The Basic Challenge: Classify The Conserved Brane Charges Associated With Branes
Problems
What Could Go Wrong With Super String Theory And How TGD Circumvents The Problems?
Can One Identify The Counterparts Of RR And NSNS Fields In TGD?
What About Counterparts Of $S$ And $U$ Dualities In TGD Framework?
Could One Divide Bundles?
A Connection Between Cognition, Number Theory, Algebraic Geometry, Topology, And Quantum Physics
Innocent Questions
Stone Theorem And Stone Spaces
2Adic Integers And 2Adic Numbers As Stone Spaces
What About PAdic Integers With $P>2$?
One More Road To TGD
A Connection Between Cognition And Algebraic Geometry
Quantum Mathematics
Boolean algebras, Stone spaces and padic physics
Boolean algebras
Stone spaces
Stone spaces and TGD
