Timeline for Is there a discrete lattice analogue of conformal transformations?
Current License: CC BY-SA 4.0
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| Jul 9, 2018 at 21:32 | comment | added | Abdelmalek Abdesselam | @AndiBauer: I'm not sure that what you are looking for exists at the moment. From a categorical point of view conformal maps would be some morphisms between objects corresponding to conformal structures. What would such a discrete conformal structure be? You have in mind a kind of triangulation of a manifold plus some extra data. I don't know what that is. Another idea in this vein is to use circle packings. | |
| Jul 9, 2018 at 21:27 | comment | added | Andi Bauer | Thanks, already had those notes open in the neighboring tab ;) This is nice but not what I'm looking for: They give a representation of holomorphic functions as functions from the lattice to $\mathbb{C}$. What I'm looking for is holomorphic functions as functions "from lattice to lattice", or more precisely, a set of local moves such that deformations of the lattice under a sequence of such moves is a discrete analogue of a conformal transformation on the manifold. | |
| Jul 9, 2018 at 21:13 | history | answered | Abdelmalek Abdesselam | CC BY-SA 4.0 |