Floer Homology Language Note4 Reversibility of Language 2009

 

Floer Homology Language

TANAKA Akio

   

Note4

Reversibility of Language


1
Banach space   E,F
Local L1,p class map that satisfies  : R×S1 → M      L1,p(R×S1, M; li, lj)    
Banach manifold     L1,p(R×S1, M; li, lj)
Tangent space at      L1,p(R×S1, *TM)
Section of E (R×S1, M; li, 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 S1 .
 is Fredholm operator.

6
(Theorem)
 is reversible.

7
Concept <memory> on <

Mirror Theory / Tokyo June 5, 2004

> is defined by   .


[References]

Mirror Theory / Tokyo June 5, 2004
Mirror Language / Tokyo June 10, 2004
Guarantee of Language / Tokyo June 12, 2004

Tokyo June 5, 2009