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...[module (mathematics)|modules]] over [[local ring]]s, analogous to [[Serre duality]] of [[coherent sheaf|coherent sheaves]]. *[[Matlis duality]] ...

* [[Duality (electrical circuits)]] [[Category:Duality theories|Mechanical engineering]] ...

{{Short description|Extends Poincaré duality beyond oriented manifolds}} ...ed Poincaré duality''' is a theorem removing the restriction on [[Poincaré duality]] to [[oriented manifold]]s. The existence of a global orientation is repla ...

...of [[algebraic topology]] and [[homotopy theory]], '''Eckmann–Hilton duality''' in its most basic form, consists of taking a given [[diagram (category t ...um (homotopy theory)|spectra]], which give rise to [[cohomology|cohomology theories]]. ...

{{short description|Duality for Galois modules for the absolute Galois group of a non-archimedean local ...te duality''' (or simply '''local duality''') is a [[Duality (mathematics)|duality]] for [[Galois module]]s for the [[absolute Galois group]] of a [[non-archi ...

...}}. {{harvs|txt|last=Kawanaka|year1=1981|year2=1982}} introduced a similar duality operation for [[Lie algebra]]s. Alvis–Curtis duality has order 2 and is an isometry on generalized characters. ...

In [[mathematics]], '''Tate duality''' or '''Poitou–Tate duality''' is a duality theorem for [[Galois cohomology]] groups of modules over the [[Galois group ==Local Tate duality== ...

...ty (electricity and magnetism)|duality]] between gravity-like and QCD-like theories, most notably the [[AdS/QCD]] correspondence. ...

...gy group]]s and cohomology groups have the abstract properties of Poincaré duality.<ref name="YUB">{{SpringerEOM|title=Poincaré complex|first=Yuli B.|last= Ru ...>0 \le k \le n</math>. These isomorphisms are the isomorphisms of Poincaré duality.<ref>{{Cite journal|last=Wall|first=C. T. C.|author-link=C. T. C. Wall| yea ...

.../math>. In Batyrev's combinatorial approach to mirror symmetry the polar duality is applied to special <math>d</math>-dimensional [[convex lattice polytope ...au manifolds |journal=Mirror Symmetry, II |pages=71–86 }}</ref> and of the duality for Gorenstein polytopes.<ref>{{cite journal |first1=V. |last1=Batyrev |fir ...

...ive space. The importance of the notion rests on the suspicion that Koszul duality seems quite ubiquitous in nature.{{citation needed|date=April 2014}} ==Koszul duality for graded modules over Koszul algebras== ...

...-Louis|authorlink2=Jean-Louis Verdier|year=1964}}, that generalizes [[Tate duality]]. ...ristopher|authorlink=Christopher Deninger|year=1986}} proved Artin–Verdier duality for constructible, but not necessarily torsion sheaves. For such a sheaf '' ...

...]], several types of products are defined on homological and cohomological theories. *[[Poincaré duality]]: swaps some of these ...

...tion]] in the full quantum theory. Renormalization theorems are common in theories with a sufficient amount of [[supersymmetry]], usually at least 4 [[superch ==Nonrenormalization in supersymmetric theories and holomorphy== ...

...Tung |last3=Zaslow |first3=Eric |year=1996 |title=Mirror symmetry is ''T''-duality |journal=Nuclear Physics B |volume=479 |issue=1–2 |pages=243–259 |doi=10.10 ...ective field theory of type IIA and type IIB should be the same if the two theories are compactified on mirror pair manifolds. ...

...neaux | first2 = M. | last3 = Hörtner | first3 = S. | title = Twisted self-duality for linearized gravity in D dimensions | doi = 10.1103/PhysRevD.88.064032 | ...| last4 = Urrutia | first4 = L. F. | title = Duality for massive spin two theories in arbitrary dimensions | doi = 10.1088/1126-6708/2008/09/058 | journal = J ...

[[Category:Duality theories]] ...

...matics, '''cohomology with compact support''' refers to certain cohomology theories, usually with some condition requiring that cocycles should have compact su * [[Poincaré duality]] ...

...p is <math>2|J|(1-|g|)</math>.<ref name="fradkin">{{Cite book |title=Field Theories of Condensed Matter Physics |author=Eduardo Fradkin |publisher=Cambridge Un == Kramers-Wannier duality == ...

...126}}</ref> These theories are known as Generalized Vector Meson Dominance theories (GVMD). ...st=Maldacena | first=Juan |title=The Large N limit of superconformal field theories and supergravity| journal=International Journal of Theoretical Physics | vo ...