the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by Edward Witten in the...
7 KB (1,167 words) - 14:40, 7 September 2023
Edward Witten (born August 26, 1951) is an American theoretical physicist known for his contributions to string theory, topological quantum field theory...
35 KB (3,125 words) - 08:28, 13 July 2024
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) - 11:43, 11 August 2024
international meeting, the Arbeitstagung, where he sketched a proof of the Witten conjecture to the amazement of Michael Atiyah and other mathematicians and his...
8 KB (713 words) - 02:49, 12 August 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...
2 KB (234 words) - 16:05, 23 July 2022
Geometric Langlands correspondence (redirect from Geometric Langlands conjecture)
applying techniques from algebraic geometry. The geometric Langlands conjecture asserts the existence of the geometric Langlands correspondence. The existence...
6 KB (686 words) - 20:06, 30 July 2024
Floer homology (redirect from Seiberg–Witten Floer theory)
construction of Pin (2)-equivariant Seiberg–Witten Floer homology, with which he disproved the Triangulation Conjecture for manifolds of dimension 5 and higher...
36 KB (4,649 words) - 00:59, 4 June 2024
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...
3 KB (403 words) - 21:15, 27 July 2024
In algebraic geometry, the Virasoro conjecture states that a certain generating function encoding Gromov–Witten invariants of a smooth projective variety...
2 KB (173 words) - 05:35, 13 September 2021
Millennium Prize Problems (section Poincaré conjecture)
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...
24 KB (2,654 words) - 01:24, 13 August 2024
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...
6 KB (781 words) - 19:03, 7 November 2023
Edward Witten suggested that the five theories were just special limiting cases of an eleven-dimensional theory called M-theory. Witten's conjecture was...
123 KB (15,355 words) - 13:02, 16 August 2024
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...
3 KB (416 words) - 17:12, 17 December 2022
Reshetikhin–Turaev invariant (redirect from Reshetikhin–Turaev–Witten invariant)
{\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...
9 KB (1,657 words) - 04:25, 10 July 2024
Monstrous moonshine (redirect from Conway-Norton conjecture)
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...
34 KB (4,510 words) - 08:15, 18 August 2024
Pierre Deligne (redirect from Deligne conjecture)
Serre's modularity conjecture Standard conjectures on algebraic cycles Abramovich, Dan; Graber, Tom; Vistoli, Angelo (2008). "Gromov-Witten Theory of Deligne-Mumford...
19 KB (1,932 words) - 16:47, 12 June 2024
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...
3 KB (346 words) - 23:17, 22 May 2024
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...
90 KB (4,940 words) - 06:18, 4 July 2024
Laboratory. Hořava is known for his articles written with Edward Witten about the Hořava-Witten domain walls in M-theory. These articles demonstrated that the...
3 KB (280 words) - 21:20, 29 July 2023
MR 1798809 Taubes, Clifford Henry (2007), "The Seiberg-Witten equations and the Weinstein conjecture", Geometry & Topology, 11 (4): 2117–2202, arXiv:math/0611007...
8 KB (807 words) - 18:30, 13 August 2024
AdS/CFT correspondence (redirect from Maldacena conjecture)
Klebanov and Polyakov, and another paper of Edward Witten. These papers made Maldacena's conjecture more precise and showed that the conformal field theory...
54 KB (6,680 words) - 21:48, 13 August 2024
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...
10 KB (881 words) - 07:25, 23 July 2024
Seiberg–Witten invariants are invariants of compact smooth oriented 4-manifolds introduced by Edward Witten (1994), using the Seiberg–Witten theory studied...
16 KB (2,592 words) - 17:53, 5 November 2023
ELSV formula, including the Witten conjecture, the Virasoro constraints, and the λ g {\displaystyle \lambda _{g}} -conjecture. It is generalized by the...
14 KB (2,468 words) - 21:36, 26 January 2022
In mathematics, the Weil conjectures were highly influential proposals by André Weil (1949). They led to a successful multi-decade program to prove them...
49 KB (7,903 words) - 13:33, 29 July 2024
polynomial invariants. J. Differential Geom. 41 (1995), no. 3, 573–734. Witten's conjecture and property P. Geom. Topol. 8 (2004), 295–310. 2007 Peter Ozsváth...
14 KB (1,778 words) - 16:01, 8 June 2023
List of unsolved problems in mathematics (category Conjectures)
Maulik–Nekrasov–Okounkov–Pandharipande conjecture on an equivalence between Gromov–Witten theory and Donaldson–Thomas theory Nagata's conjecture on curves, specifically...
190 KB (19,544 words) - 09:04, 19 August 2024
Horava (2005)). This conjecture, applied to D-brane charges, was first proposed by Minasian & Moore (1997). It was popularized by Witten (1998) who demonstrated...
23 KB (3,013 words) - 22:49, 7 May 2024
students included Graeme Segal, Nigel Hitchin, Simon Donaldson, and Edward Witten. Together with Hirzebruch, he laid the foundations for topological K-theory...
82 KB (8,785 words) - 23:54, 30 July 2024
4-manifold (redirect from 11/8 conjecture)
Manolescu, Ciprian (2016). "Pin(2)-equivariant Seiberg–Witten Floer homology and the Triangulation Conjecture". J. Amer. Math. Soc. 29: 147–176. arXiv:1303.2354...
15 KB (1,954 words) - 15:10, 3 August 2024