Eric Sharpe - Examples of homological projective duality in physics
Eric Sharpe - Examples of homological projective duality in physics
Eric Sharpe - Examples of homological projective duality in physics
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When is a matrix factorization `po<strong>in</strong>tlike’?<br />
Demand<strong>in</strong>g contractible <strong>of</strong>f a po<strong>in</strong>t,<br />
gives set-theoretic po<strong>in</strong>tlike support,<br />
but to dist<strong>in</strong>guish fat po<strong>in</strong>ts, need more.<br />
To do this, compute Ext groups.<br />
Say a matrix factorization is `<strong>homological</strong>ly po<strong>in</strong>tlike’<br />
if has same Ext groups as a skyscraper sheaf:<br />
dim Ext k MF (E, E) = (<br />
n<br />
k<br />
)
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