27.01.2014 Views

Applications of Braid Theory

Applications of Braid Theory

Applications of Braid Theory

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

What if curves go up and down?<br />

1. Cut the curves into segments at turning points<br />

in height.<br />

2. Sum winding numbers for each<br />

pair <strong>of</strong> segments (if opposite<br />

directions, multiply by ‐1).<br />

Heresegments2and3give<br />

Here segments 2 and 3 give<br />

winding angle <strong>of</strong> ‐4p.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!