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Thanks , David, both for the formatting and the ref. Unfortunately, I think my question may be much simpler than your refs: I have a matrix representation of a form in cohomology , which can be dualized (and I give this dualized form) to homology. This form/matrix is supposed to output an integer value; this value is the number of points of intersection of two submanifolds of a 4-manifold, with the sign having to see with the orientation of the two submanifolds.

I am just not clear on how I can get this integer value from the matrix, i.e., how I can get the intersection number using this form; I know I need to evaluate this matrix on some 2x1 vector, I just have no idea of what this vector would be.

Herb.

show/hide this revision's text 1

Thanks , David, both for the formatting and the ref. Unfortunately, I think my

question may be much simpler than your refs: I have a matrix representation

of a form in cohomology , which can be dualized (and I give this dualized form)

to homology. This form/matrix is supposed to output an integer value; this value

is the number of points of intersection of two submanifolds of a 4-manifold, with

the sign having to see with the orientation of the two submanifolds.

I am just not clear on how I can get this integer value from the matrix, i.e.,

how I can get the intersection number using

this form; I know I need to evaluate this matrix on some 2x1 vector, I just have

no idea of what this vector would be.

Herb.