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×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
![](https://writer.zoho.com/image.do?imgurl=a388a7fc54b0cd4ba80de6dcb0234ac962ad8b6efaf75974ee2d620b784fdd1df07e8c81d278df78911eb4556ba7e1fe)
2
![](https://writer.zoho.com/image.do?imgurl=a388a7fc54b0cd4ba80de6dcb0234ac962ad8b6efaf75974ee2d620b784fdd1dc2541b1f6f005473df634f3bd524e401)
N| is zero order operator.
3
![](https://writer.zoho.com/image.do?imgurl=a388a7fc54b0cd4ba80de6dcb0234ac962ad8b6efaf75974ee2d620b784fdd1da3294ce4b0735befef2118f33bfaa42b)
4
2n dimensional manifold M
Tangent space TM
Map JM : TM → TM
JM° JM = -1
5
![](https://writer.zoho.com/image.do?imgurl=a388a7fc54b0cd4ba80de6dcb0234ac962ad8b6efaf75974ee2d620b784fdd1df0f587dabe9afe2a6986eff9925916ed)
![](https://writer.zoho.com/image.do?imgurl=a388a7fc54b0cd4ba80de6dcb0234ac962ad8b6efaf75974ee2d620b784fdd1d639d0ec54de5b6d4583d280406acd806)
is elliptic operator over closed manifold S1 .
is Fredholm operator.
6
(Theorem)
is reversible.
7
Concept <memory> on <
1
Banach space E,F
Local L1,p class map that satisfies
Banach manifold L1,p(R×S1, M; li, lj)
Tangent space at
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
6
(Theorem)
7
Concept <memory> on <
> is defined by
.
[References]
[References]
Mirror Theory / Tokyo June 5, 2004
Mirror Language / Tokyo June 10, 2004
Guarantee of Language / Tokyo June 12, 2004
Mirror Language / Tokyo June 10, 2004
Guarantee of Language / Tokyo June 12, 2004
Tokyo June 5, 2009
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