• the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by Edward Witten in the...
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  • Thumbnail for Edward Witten
    Edward Witten (born August 26, 1951) is an American theoretical physicist known for his contributions to string theory, topological quantum field theory...
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  • M-theory (redirect from BFSS conjecture)
    Edward Witten first conjectured the existence of such a theory at a string theory conference at the University of Southern California in 1995. Witten's announcement...
    62 KB (7,723 words) - 21:39, 28 October 2024
  • easily using Seiberg–Witten theory, though there are a number of open problems remaining in Donaldson theory, such as the Witten conjecture and the Atiyah–Floer...
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  • Thumbnail for Maxim Kontsevich
    international meeting, the Arbeitstagung, where he sketched a proof of the Witten conjecture to the amazement of Michael Atiyah and other mathematicians and his...
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  • construction of Pin (2)-equivariant Seiberg–Witten Floer homology, with which he disproved the Triangulation Conjecture for manifolds of dimension 5 and higher...
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  • statement of the problem was given by Arthur Jaffe and Edward Witten. Mathematics portal Beal conjecture Hilbert's problems List of mathematics awards List of...
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  • Frenkel-Lepowsky-Meurman's conjecture that moonshine module is the unique holomorphic VOA with central charge 24 and character j-744, Witten concluded that pure...
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  • doi:10.2140/agt.2004.4.73. Kronheimer, Peter; Mrowka, Tomasz (2004). "Witten's conjecture and Property P". Geometry & Topology. 8: 295–310. arXiv:math.GT/0311489...
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  • In algebraic geometry, the Virasoro conjecture states that a certain generating function encoding Gromov–Witten invariants of a smooth projective variety...
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  • {\text{SU}}(2)} -connections on M {\displaystyle M} . The Witten's asymptotic expansion conjecture suggests that at t = e π i / r {\displaystyle t=e^{{\pi...
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  • applying techniques from algebraic geometry. The geometric Langlands conjecture asserts the existence of the geometric Langlands correspondence. The existence...
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  • Weinstein conjecture has now been proven for all closed 3-dimensional manifolds by Clifford Taubes. The proof uses a variant of Seiberg–Witten Floer homology...
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  • the first Chern classes of the n cotangent line bundles, as in Witten's conjecture. Let a 1 , … , a n {\displaystyle a_{1},\ldots ,a_{n}} be positive...
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  • Edward Witten suggested that the five theories were just special limiting cases of an eleven-dimensional theory called M-theory. Witten's conjecture was...
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  • Thumbnail for Pierre Deligne
    Serre's modularity conjecture Standard conjectures on algebraic cycles Abramovich, Dan; Graber, Tom; Vistoli, Angelo (2008). "Gromov-Witten Theory of Deligne-Mumford...
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  • using the Seiberg–Witten invariants. There is at least one generalization of this conjecture, known as the symplectic Thom conjecture (which is now a theorem...
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  • Thumbnail for Tomasz Mrowka
    and partly motivated Witten's introduction of the Seiberg–Witten invariants. The second paper proves the so-called Thom conjecture and was one of the first...
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  • Thumbnail for Clifford Taubes
    MR 1798809 Taubes, Clifford Henry (2007), "The Seiberg-Witten equations and the Weinstein conjecture", Geometry & Topology, 11 (4): 2117–2202, arXiv:math/0611007...
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  • Klebanov and Polyakov, and another paper of Edward Witten. These papers made Maldacena's conjecture more precise and showed that the conformal field theory...
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  • Maulik–Nekrasov–Okounkov–Pandharipande conjecture on an equivalence between Gromov–Witten theory and Donaldson–Thomas theory Nagata's conjecture on curves, specifically...
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  • the Gorenstein condition for every n. ELSV formula Hodge bundle Witten's conjecture Faber, C.; Pandharipande, R. (2011). "Tautological and non-tautological...
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  • Seiberg–Witten invariants are invariants of compact smooth oriented 4-manifolds introduced by Edward Witten (1994), using the Seiberg–Witten theory studied...
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  • Thumbnail for Fields Medal
    medal as of 2022. With the exception of two PhD holders in physics (Edward Witten and Martin Hairer), only people with a PhD in mathematics have won the medal...
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  • Thumbnail for Calabi–Yau manifold
    superstring theory, the extra dimensions of spacetime are sometimes conjectured to take the form of a 6-dimensional Calabi–Yau manifold, which led to...
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  • Thumbnail for Michael Atiyah
    students included Graeme Segal, Nigel Hitchin, Simon Donaldson, and Edward Witten. Together with Hirzebruch, he laid the foundations for topological K-theory...
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  • In mathematics, the Weil conjectures were highly influential proposals by André Weil (1949). They led to a successful multi-decade program to prove them...
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  • Thumbnail for Tian Gang
    1985 to be powerful tools in symplectic geometry. In 1991, Edward Witten conjectured a use of Gromov's theory to define enumerative invariants. Tian and...
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  • Horava (2005)). This conjecture, applied to D-brane charges, was first proposed by Minasian & Moore (1997). It was popularized by Witten (1998) who demonstrated...
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    consequences of positivity. Research has been led by Nima Arkani-Hamed. Edward Witten described the work as "very unexpected" and said that "it is difficult to...
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