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A theory of generalized Donaldson–Thomas invariants
Open accessAbstract
Donaldson–Thomas invariants D T α ( τ ) DT^\alpha (\tau ) are integers which ‘count’ τ \tau -stable coherent sheaves with Chern character α \alpha on a Calabi–Yau 3-fold X X , where τ \tau denotes Gieseker stability for some ample line bundle on X X . They are unchanged under deformations of X X . The conventional definition works only for classes α \alpha containing no strictly τ \tau -semistable sheaves. Behrend showed that D T α ( τ ) DT^\alpha (\tau ) can be written as a weighted Euler characteristic χ ( M s t α ( τ ) , ν M
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Hartshorne, R. (1977) · Graduate texts in mathematics · doi:10.1007/978-1-4757-3849-0 · Cited by 6,960
Principles of Algebraic Geometry
Griffiths, P., & Harris, J. (1994) · Wiley · doi:10.1002/9781118032527 · Cited by 6,765
Borel, A. (1991) · Graduate Texts in Mathematics · doi:10.1007/978-1-4612-0941-6 · Cited by 1,660
Kashiwara, M., & Schapira, P. (1990) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-3-662-02661-8 · Cited by 1,139 · cited 2×
“A survey paper on the subject is Massey [76], and three books are Kashiwara and Schapira [57], Dimca [18], and Schürmann [93].”
BackgroundGéométrie algébrique et géométrie analytique
Serre, J.-P. (1956) · Annales de l'Institut Fourier · doi:10.5802/aif.59 · Cited by 645
Cited by
Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson–Thomas invariants
Kontsevich, M., & Soibelman, Y. (2011) · Communications in Number Theory and Physics · doi:10.4310/cntp.2011.v5.n2.a1 · Cited by 369
Metadata
- Authors
- Joyce, D., & Song, Y.
- Venue
- Memoirs of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 2012
- Volume
- 217
- Issue
- 1020
- Pages
- 0-0
- ISSN
- 0065-9266 (ISSN-L)
- 1947-6221
- OpenAlex
- W2091013008
- Cited by
- 341
- References
- 5
- FWCI
- 37.41
- Type
- journal article
- Language
- en
- Open access
- green
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