The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson–Thomas invariants
Open accessAbstract
To a quiver with potential we assign an algebra in the category of exponential mixed Hodge structures (the latter is also introduced in the paper).We compute the algebra (which we call Cohomological Hall algebra) for quivers without potential and study factorization properties of its Poincaré-Hilbert series in general case.As an application we obtain an alternative approach to our theory of motivic Donaldson-Thomas invariants of 3-dimensional Calabi-Yau categories and prove their integrality properties.We discuss the relationship of Cohomological Hall algebra with other mathematical structures including cluster algebras and Chern-Simons theory.
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Cites
Symmetric Functions and Hall Polynomials
Macdonald, I. G. (1995) · doi:10.1093/oso/9780198534891.001.0001 · Cited by 7,483
The Representation Theory of the Symmetric Group
James (1984) · Cambridge University Press eBooks · doi:10.1017/cbo9781107340732 · Cited by 1,722
Quivers, perverse sheaves, and quantized enveloping algebras
Lusztig, G. (1991) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-1991-1088333-2 · Cited by 428
Analytic continuation of Chern-Simons theory
(2011) · AMS/IP Studies in Advanced Mathematics · doi:10.1090/amsip/050/19 · Cited by 424
A theory of generalized Donaldson–Thomas invariants
Joyce, D., & Song, Y. (2012) · Memoirs of the American Mathematical Society · doi:10.1090/s0065-9266-2011-00630-1 · Cited by 341
Hodge theoretic aspects of mirror symmetry
Katzarkov, L. V., Kontsevich, M., & Pantev, T. (2008) · Proceedings of symposia in pure mathematics · doi:10.1090/pspum/078/2483750 · Cited by 306
Self-citationAnalytic Continuation Of Chern-Simons Theory
Witten, E. H. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1001.2933 · Cited by 285
La théorie des classes de Chern
Grothendieck, A. (1958) · Bulletin de la Société mathématique de France · doi:10.24033/bsmf.1501 · Cited by 259 · cited 1×
“of fibers of fibration π. Proposition is proven. 6 Factorization systems and integrality of exponents 6.1 Admissible series and integrality properties We will work in the framework of λ-rings (see e.g.[26], [32], [41]). Recall that forsuch a ring Bwe have a collection of operations λn: B→B,n> 0 satisfying the natural…”
BackgroundInfluentialAffine Structures and Non-Archimedean Analytic Spaces
Kontsevich, M., & Soibelman, Y. (2007) · Progress in Mathematics · doi:10.1007/0-8176-4467-9_9 · Cited by 255
Self-citationSteenbrink, J. H. M., & Peters, C. A. M. (2008) · Radboud Repository (Radboud University) · Cited by 234
Metadata
- Authors
- Kontsevich, M., & Soibelman, Y.
- Venue
- Communications in Number Theory and Physics
- Publisher
- International Press of Boston
- Published
- 2011
- Volume
- 5
- Issue
- 2
- Pages
- 231-252
- ISSN
- 1931-4523 (ISSN-L)
- 1931-4531
- OpenAlex
- W2963555098
- Cited by
- 369
- References
- 19
- FWCI
- 31.25
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Kontsevich, M., & Soibelman, Y. (2011). Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson–Thomas invariants. Communications in Number Theory and Physics. https://doi.org/10.4310/cntp.2011.v5.n2.a1
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