Floer Homology Language
Note 4
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 <
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 <
> 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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