Výsledky vyhledávání - "Malusà, Alessandro"

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Kirwan surjectivity and Lefschetz-Sommese theorems for a generalized hyperk\'ahler reduction

Autor: Fisher, Jonathan, Jeffrey, Lisa, Malusà, Alessandro, Rayan, Steven

Publikováno v: Geom. Dedicata 217 (2023), no. 5, paper no. 94

Let $G$ be a compact Lie group. We study a class of Hamiltonian $(G \times S^{1})$-manifolds decorated with a function $s$ with certain equivariance properties, under conditions on the $G$-action which we call of (semi-)linear type. In this context,

Externí odkaz: http://arxiv.org/abs/2305.15651

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$\operatorname{Sp}(1)$-symmetric hyperk\'ahler quantisation

Autor: Andersen, Jørgen Ellegaard, Malusà, Alessandro, Rembado, Gabriele

Publikováno v: Pacific J. Math. 329 (2024) 1-38

We provide a new general scheme for the geometric quantisation of $\operatorname{Sp}(1)$-symmetric hyper-K\"ahler manifolds, considering Hilbert spaces of holomorphic sections with respect to the complex structures in the hyper-K\"ahler 2-sphere. Und

Externí odkaz: http://arxiv.org/abs/2111.03584

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Genus-one complex quantum Chern--Simons theory

Autor: Andersen, Jørgen Ellegaard, Malusà, Alessandro, Rembado, Gabriele

Publikováno v: Journal of Symplectic Geometry, Vol. 20, No. 6 (2022), pp. 1215-1253

We consider the geometric quantisation of Chern--Simons theory for closed genus-one surfaces and semisimple complex groups. First we introduce the natural complexified analogue of the Hitchin connection in K\"{a}hler quantisation, with polarisations

Externí odkaz: http://arxiv.org/abs/2012.15630

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Asymptotic properties of the Hitchin-Witten connection

Autor: Andersen, Jørgen Ellegaard, Malusà, Alessandro

We explore extensions to $\operatorname{SL}(n,\mathbb{C})$-Chern-Simons theory of some results obtained for $\operatorname{SU}(n)$-Chern-Simons theory via the asymptotic properties of the Hitchin connection and its relation to Toeplitz operators deve

Externí odkaz: http://arxiv.org/abs/1805.04868

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A Geometric Quantisation view on the AJ-conjecture for the Teichm\'uller TQFT

Autor: Andersen, Jørgen Ellegaard, Malusà, Alessandro

We provide a Geometric Quantisation formulation of the AJ-conjecture for the Teichm\"{u}ller TQFT, and we prove it in detail in the case of the knot complements of $4_{1}$ and $5_2$. The conjecture states that the level-$N$ Andersen-Kashaev invariant

Externí odkaz: http://arxiv.org/abs/1711.11522

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