Sunday 5 December 2021

Floer Homology Language Note4 Reversibility of Language 2009

 


Floer Homology Language


   

Note4

Reversibility of Language


1
Banach space   E,F
Local L1,p class map that satisfies  : R×S1 → M      L1,p(R×S1Mli, lj)    
Banach manifold     L1,p(R×S1Mli, lj)
Tangent space at      L1,p(R×S1*TM)
Section of E (R×S1Mli, lj)         sh


2

N| is zero order operator.

3


4
2n dimensional manifold     M
Tangent space     TM
Map     JM : TM → TM
JM° JM = -1

5


 is elliptic operator over closed manifold S.
 is Fredholm operator.

6
(Theorem)
 is reversible.

7
Concept <memory> on <
> is defined by   .


[References]
Tokyo June 5, 2009

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