MICC 0.1.5

Installation

Installing through pip is recommended to use the programmatic interface:

$ pip install micc

Otherwise, the command line interface for MICC is available here.

Getting Started

Example useage of MICC:

from micc.curvepair import CurvePair

top    = [21,7,8,9,10,11,22,23,24,0,1,2,3,4,5,6,12,13,14,15,16,17,18,19,20]
bottom = [9,10,11,12,13,14,15,1,2,3,4,5,16,17,18,19,20,21,22,23,24,0,6,7,8]
test = CurvePair(top, bottom)
print test.distance

Documentation

MICC’s key interface is an abstract representation of a pair of curves a,*b* on a surace S of genus g. We present the details and nuances in our full publication <link>.

Define one of the two curves as a reference curve; in the above case, we choose a as our reference curve. Aftering arbitrarily labeling the arcs of b created by the removal of a, as shown above, read off the chosen identifications in the order they appear on the each side of a during an oriented traversal. Upon doing so, you will have two sequences of integer identifications. In the above example, they look like:

[1, 4, 3, 4, 1, 6]
[6, 5, 2, 3, 2, 5]

These two lists are the input to the CurvePair object, the primary interface layer for MICC. It is highly recommended that users restrict their attention to this object alone.

To compute the distance between a and b:

>>> curve = CurvePair([1, 4, 3, 4, 1, 6],[6, 5, 2, 3, 2, 5])
>>> curve.distance
3

TODO

License

Copyright 2014 Matt Morse and Paul Glenn.

MICC is licensed under the MIT License.