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pro vyhledávání: '"FELDER, GIOVANNI"'
We study the behavior of the superperiod map near the boundary of the moduli space of stable supercurves and prove that it is similar to the behavior of periods of classical curves. We consider two applications to the geometry of this moduli space in
Externí odkaz:
http://arxiv.org/abs/2408.11136
We study the harmonic locus consisting of the monodromy-free Schr\"odinger operators with rational potential and quadratic growth at infinity. It is known after Oblomkov that it can be identified with the set of all partitions via the Wronskian map f
Externí odkaz:
http://arxiv.org/abs/2404.18471
We study isomorphism classes of untwisted irregular singular meromorphic connections on principal bundles over (wild) Riemann surfaces, for any complex reductive structure group $G$ and polar divisor. In particular we compute the stabilisers of suita
Externí odkaz:
http://arxiv.org/abs/2402.03278
Autor:
Dalipi, Rea, Felder, Giovanni
We give a fermionic formula for $R$-matrices of exterior powers of the vector representations of $U_q(\widehat{ \mathfrak{gl}}_N)$ and relate it to the dynamical Weyl group of Tarasov--Varchenko and Etingof--Varchenko, via a Howe ($\mathfrak{gl}_N,\m
Externí odkaz:
http://arxiv.org/abs/2208.13055
Autor:
Felder, Giovanni, Rembado, Gabriele
Publikováno v:
Selecta Mathematica (2023) 29:15
We give a mathematical definition of irregular conformal blocks in the genus-zero WZNW model for any simple Lie algebra, using coinvariants of modules for affine Lie algebras whose parameters match up with those of moduli spaces of irregular meromorp
Externí odkaz:
http://arxiv.org/abs/2012.14793
Autor:
Felder, Giovanni, Ren, Muze
Publikováno v:
SIGMA 17 (2021), 005, 26 pages
We introduce the notion of restricted dynamical quantum groups through their category of representations, which are monoidal categories with a forgetful functor to the category of $\pi$-graded vector spaces for a groupoid $\pi$.
Externí odkaz:
http://arxiv.org/abs/2010.01060
Autor:
Felder, Giovanni
Publikováno v:
Lett. Math. Phys. 111:12 (2021) 1-19
We study the motion of a particle in a plane subject to an attractive central force with inverse-square law on one side of a wall at which it is reflected elastically. This model is a special case of a class of systems considered by Boltzmann which w
Externí odkaz:
http://arxiv.org/abs/2008.03480
We prove that the moduli of stable supercurves with punctures is a smooth proper DM stack and study an analog of the Mumford's isomorphism for its canonical line bundle.
Comment: v1: 63 pages; v2: 74 pages, some details added, exposition improve
Comment: v1: 63 pages; v2: 74 pages, some details added, exposition improve
Externí odkaz:
http://arxiv.org/abs/2006.13271
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The supermeasure whose integral is the genus $g$ vacuum amplitude of superstring theory is potentially singular on the locus in the moduli space of supercurves where the corresponding even theta-characteristic has nontrivial sections. We show that th
Externí odkaz:
http://arxiv.org/abs/1905.12805