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In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric...

In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism...

cited her work in "the dynamics and geometry of Riemann surfaces and their moduli spaces". Mirzakhani was considered a leading force in the fields of hyperbolic...

In mathematics, loop algebras are certain types of Lie algebras, of particular interest in theoretical physics. For a Lie algebra g {\displaystyle {\mathfrak...

freedom), of which the kinetic part coincides with the Kähler potential of the moduli space of vacua. Before taking the low-energy effective action, the theory...

geometry, Hurwitz spaces are moduli spaces of ramified covers of the projective line, and they are related to the moduli of curves. Their rational points...

megapascal. "An example of the use of Mpsi in mechanics for the elastic moduli of several materials". Archived from the original on 2016-12-16. Retrieved...

in a mathematically consistent way. In comparison, other theories such as loop quantum gravity are considered by physicists and researchers to be less elegant...

structure is useful in the theory of moduli spaces, and in fact, it was originally introduced to describe moduli of algebraic curves. A further generalization...

field of moduli of the orbit corresponds to the smallest normal extension of Q {\displaystyle \mathbb {Q} } that contains the field of moduli of the dessin...

reduction of the anti-self dual Yang–Mills equations: instanton moduli spaces, monopole moduli spaces, spaces of solutions to Nigel Hitchin's self-duality...

to the principle of unitarity, the sum of the probabilities (the squared moduli of the probability amplitudes) for every possible outcome is 1. The on-shell...

the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have...

invariant theory gives a moduli space of cubic surfaces, with one point for each isomorphism class of smooth cubic surfaces. This moduli space has dimension...

or modulus of the product is the product of the two absolute values, or moduli, and the angle or argument of the product is the sum of the two angles,...

function yields the volume of the moduli space of flat connections with respect to a natural volume measure on the moduli space. This volume measure is associated...

the universal case in the sense that the map from the moduli stack of elliptic curves to the moduli stack of formal groups M 1 , 1 → M f g {\displaystyle...

constructed as the global sections of a sheaf of E-infinity ring spectra on the moduli stack of (generalized) elliptic curves. This theory has relations to the...

holes both in string theory and in other approaches to quantum gravity like loop quantum gravity. Unsolved problem in physics Is physical information lost...

filling space homogeneously, and scalar fields such as quintessence or moduli, dynamic quantities whose energy density can vary in time and space while...