Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Simone Noja"'
Autor:
Simone Noja
Publikováno v:
Universe, Vol 4, Iss 11, p 114 (2018)
In this paper we give a brief account of the relations between non-projected supermanifolds and projectivity in supergeometry. Following the general results (L. Sergio et al., 2018), we study an explicit example of non-projected and non-projective su
Externí odkaz:
https://doaj.org/article/3a3bb47434064ed093a654e2aad93b35
Autor:
Simone Noja
Publikováno v:
European Journal of Mathematics. 9
We study global and local geometry of forms on odd symplectic BV supermanifolds, constructed from the total space of the bundle of 1-forms on a base supermanifold. We show that globally 1-forms are an extension of vector bundles defined on the base s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26148f70c5a3da5c80f68537d19c9472
https://doi.org/10.1007/s40879-023-00603-6
https://doi.org/10.1007/s40879-023-00603-6
Autor:
Riccardo Re, Simone Noja
We construct the super Koszul complex of a free supercommutative $A$-module $V$ of rank $p|q$ and prove that its homology is concentrated in a single degree and it yields an exact resolution of $A$. We then study the dual of the super Koszul complex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7643622b8c1cd9ac4ea2bf4880ed1d5c
https://hdl.handle.net/11383/2124901
https://hdl.handle.net/11383/2124901
Publikováno v:
Mathematical Research Letters. 26:1027-1058
We start a systematic study of non-projected supermanifolds, concentrating on supermanifolds with fermionic dimension 2 and with the reduced manifold a complex projective space. We show that all the non-projected supermanifolds of dimension $2|2$ ove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::321cea9dafc823077bba9b886a2a786b
https://doi.org/10.4310/mrl.2019.v26.n4.a4
https://doi.org/10.4310/mrl.2019.v26.n4.a4
Publikováno v:
Letters in Mathematical Physics. 111
We study the cohomology of the complexes of differential, integral and pseudo forms on odd symplectic manifolds taking the wedge product with the symplectic form as differential. We show that the cohomology classes are in correspondence with inequiva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f411ee03073ee40926d9768af67712a1
https://doi.org/10.1007/s11005-021-01384-3
https://doi.org/10.1007/s11005-021-01384-3
Autor:
Simone Noja
This paper provides a rigorous account on the geometry of forms on supermanifolds, with a focus on its algebraic-geometric aspects. First, we introduce the de Rham complex of differential forms and we compute its cohomology. We then discuss three int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b191f7a28b584e836e4c280b83890771
Inspired by the analogy between different types of differential forms on supermanifolds and string fields in superstring theory, we construct new multilinear non-associative products of forms which yield an $A_\infty$-algebra.
Comment: 29 pages,
Comment: 29 pages,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ac36aab842c3aa98879ae384293d2b7
Autor:
Sergio L. Cacciatori, Simone Noja
We study the supergeometry of complex projective superspaces $\mathbb{P}^{n|m}$. First, we provide formulas for the cohomology of invertible sheaves of the form $\mathcal{O}_{\mathbb{P}^{n|m}} (\ell)$, that are pull-back of ordinary invertible sheave
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc1e2e8fabde9bff54201ceb89318cde
http://hdl.handle.net/11383/2075570
http://hdl.handle.net/11383/2075570
Inspired by superstring field theory, we study differential, integral, and inverse forms and their mutual relations on a supermanifold from a sheaf-theoretical point of view. In particular, the formal distributional properties of integral forms are r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d45b21605c82c22b8865a22597b33126
Autor:
Simone Noja
In this paper we prove that $\Pi$-projective spaces $\mathbb{P}^n_\Pi$ arise naturally in supergeometry upon considering a non-projected thickening of $\mathbb{P}^n$ related to the cotangent sheaf $\Omega^1_{\mathbb{P}^n}$. In particular, we prove th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c51a19650e5d3e8426c8b7abe762905c
http://arxiv.org/abs/1706.01359
http://arxiv.org/abs/1706.01359