[PDF.02up] A Theory of Generalized Donaldson-Thomas Invariants (Memoirs of the American Mathematical Society)

A Theory of Generalized Donaldson-Thomas Invariants (Memoirs of the American Mathematical Society)

[PDF.qj44] A Theory of Generalized Donaldson-Thomas Invariants (Memoirs of the American Mathematical Society)

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 | #9985267 in Books |  2012-05-15 |  10.00 x7.01 x.0l,.99 | File type: PDF | 199 pages

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This book studies generalized Donaldson-Thomas invariants $\bar{DT}{}^\alpha(\tau)$. They are rational numbers which 'count' both $\tau$-stable and $\tau$-semistable coherent sheaves with Chern character $\alpha$ on $X$; strictly $\tau$-semistable sheaves must be counted with complicated rational weights. The $\bar{DT}{}^\alpha(\tau)$ are defined for all classes $\alpha$, and are equal to $DT^\alpha(\tau)$ when it is defined. They are unchanged under deformations of $X$,...

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