Index

action filtration, 64

adjacent elements of a poset, 105

algebraic intersection number, 63

annulus reduction, 23

arc condition, 13, 39

bottom boundary, 37

boundary, 8

broken heart, 69

cancellation formula, 14, 23

catenation, 11, 39

chain, 7

combinatorial

Floer homology, 63

lune, 40

compatible hearts, 71

connection matrix, 106

counting function of a lune, 37

diamonds, 89

embedded lune, 37, 45

end of a lune, 47

endpoints of a lune, 37

equator, 91

equivalent

broken hearts, 69

holomorphic strips, 81

lunes, 37

smooth hearts, 70

existence of a lune, 40

Floer chain complex, 63, 103

Floer homology, 63, 89

analytic, 89

combinatorial, 63

dimension, 64

triangle product, 92

geometric intersection number, 63

grading

integer, 66

mod two, 65

heart

broken, 69

midpoint of, 69

smooth, 70

hearts

and diamonds, 89

compatible, 71

equivalent, 69, 70

of type (ac) and (bd), 70

index formula, 83

index function on a poset, 106

integer

coeﬃcients, 66

grading, 66

intersection number, 63

algebraic, 63

geometric, 63

numerical, 63

isotopy argument, 25

left end of a lune, 47

linear index formula, 85

lune

combinatorial, 40

counting function of, 37

embedded, 37

endpoints of, 37

existence, 40

left end of, 47

right end of, 47

smooth, 37

uniqueness, 40

lunes

equivalent, 37

Maslov index, 13, 39

midpoint of a heart, 69

mod two grading, 65

numerical intersection number, 63

planar 2-manifold, 15

primitive trace, 45

reduced (α, β)-trace, 21

113