Seminario di analisi matematica
ore
16:00
presso Aula Seminario VIII piano
There are two alternative definitions of discrete connections on
triangulated manifolds. The most known one associates a group element to
each edge. An alternative approach uses first-order operators on simplexes
of higher dimension.
We show that in dimension two such connections are associated with
self-adjoint second order operators, and the self-adjointness is
equivalent to existence of two factorizations. We also show that Laplace
transformations can be interpreted as the star-triangle transformation
used in electrical circuits.