Antonio Michele Miti

Pubblicazioni

Titolo Pubblicato in Anno
Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS 2024
Observables on multisymplectic manifolds and higher Courant algebroids COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 2024
A hydrodynamical homotopy co-momentum map and a multisymplectic interpretation of higher-order linking numbers JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2022
Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA 2021
Multisymplectic actions of compact lie groups on Spheres JOURNAL OF SYMPLECTIC GEOMETRY 2020

Interessi di ricerca

My research broadly focuses on differential geometry and its deep connections with mathematical physics. I specialize in employing higher geometric methods within multisymplectic geometry, with a particular interest in structures "up to homotopy," inspired by the interplay between geometry and mechanics.

Keywords

symplectic manifolds
-algebra
Algebraic quantum field theory
Quantization

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