the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by Edward Witten in the...

Edward Witten (born August 26, 1951) is an American theoretical physicist known for his contributions to string theory, topological quantum field theory...

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...

construction of Pin (2)-equivariant Seiberg–Witten Floer homology, with which he disproved the Triangulation Conjecture for manifolds of dimension 5 and higher...

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...

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...

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...

international meeting, the Arbeitstagung, where he sketched a proof of the Witten conjecture to the amazement of Michael Atiyah and other mathematicians and his...

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...

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...

In algebraic geometry, the Virasoro conjecture states that a certain generating function encoding Gromov–Witten invariants of a smooth projective variety...

mathematics, specifically in symplectic topology and algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count...

Edward Witten suggested that the five theories were just special limiting cases of an eleven-dimensional theory called M-theory. Witten's conjecture was...

Serre's modularity conjecture Standard conjectures on algebraic cycles Abramovich, Dan; Graber, Tom; Vistoli, Angelo (2008). "Gromov-Witten Theory of Deligne-Mumford...

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...

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...

Langlands correspondence is related to important conjectures in number theory such as the Taniyama–Shimura conjecture, which includes Fermat's Last Theorem as...

{\text{SU}}(2)} -connections on M {\displaystyle M} . Witten's asymptotic expansion conjecture suggests that at t = e π i / r {\displaystyle t=e^{{\pi...

superstring theory, the extra dimensions of spacetime are sometimes conjectured to take the form of a 6-dimensional Calabi–Yau manifold, which led to...

Seiberg–Witten invariants are invariants of compact smooth oriented 4-manifolds introduced by Edward Witten (1994), using the Seiberg–Witten theory studied...

Manolescu, Ciprian (2016). "Pin(2)-equivariant Seiberg–Witten Floer homology and the Triangulation Conjecture". J. Amer. Math. Soc. 29: 147–176. arXiv:1303.2354...

ELSV formula, including the Witten conjecture, the Virasoro constraints, and the λ g {\displaystyle \lambda _{g}} -conjecture. It is generalized by the...

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...

g , n c . {\displaystyle {\mathcal {M}}_{g,n}^{\mathrm {c.} }} . Witten conjecture Tautological ring Grothendieck–Riemann–Roch theorem Deligne, Pierre;...

Maulik–Nekrasov–Okounkov–Pandharipande conjecture on an equivalence between Gromov–Witten theory and Donaldson–Thomas theory Nagata's conjecture on curves, specifically...

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...

Klebanov and Polyakov, and another paper of Edward Witten. These papers made Maldacena's conjecture more precise and showed that the conformal field theory...

Charles Fefferman, John Milnor, David Mumford, Andrew Wiles, and Edward Witten. In recognition of major breakthroughs in mathematical research, the institute...

manifold, then the index of the Dirac operator vanishes. In 1983, Witten conjectured that in this situation the equivariant index of a certain twisted...

MR 0954493 Taubes, Clifford Henry (2007), "The Seiberg-Witten equations and the Weinstein conjecture", Geometry & Topology, 11 (4): 2117–2202, arXiv:math/0611007...