How Long to Read A Theory of Generalized Donaldson-Thomas Invariants

How Long Does it Take to Read A Theory of Generalized Donaldson-Thomas Invariants?

It takes the average reader 3 hours and 26 minutes to read A Theory of Generalized Donaldson-Thomas Invariants by Dominic D. Joyce

Assuming a reading speed of 250 words per minute. Learn more

Description

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 $X$, and transform by a wall-crossing formula under change of stability condition $\tau$. To prove all this, the authors study the local structure of the moduli stack $\mathfrak M$ of coherent sheaves on $X$. They show that an atlas for $\mathfrak M$ may be written locally as $\mathrm{Crit}(f)$ for $f:U\to{\mathbb C}$ holomorphic and $U$ smooth, and use this to deduce identities on the Behrend function $\nu_\mathfrak M$. They compute the invariants $\bar{DT}{}^\alpha(\tau)$ in examples, and make a conjecture about their integrality properties. They also extend the theory to abelian categories $\mathrm{mod}$-$\mathbb{C}Q\backslash I$ of representations of a quiver $Q$ with relations $I$ coming from a superpotential $W$ on $Q$.

How long is A Theory of Generalized Donaldson-Thomas Invariants?

A Theory of Generalized Donaldson-Thomas Invariants by Dominic D. Joyce is 199 pages long, and a total of 51,541 words.

This makes it 67% the length of the average book. It also has 63% more words than the average book.

How Long Does it Take to Read A Theory of Generalized Donaldson-Thomas Invariants Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 41 minutes to read A Theory of Generalized Donaldson-Thomas Invariants aloud.

What Reading Level is A Theory of Generalized Donaldson-Thomas Invariants?

A Theory of Generalized Donaldson-Thomas Invariants is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy A Theory of Generalized Donaldson-Thomas Invariants?

A Theory of Generalized Donaldson-Thomas Invariants by Dominic D. Joyce is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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