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We provide explicit equations and parameterizations of some new rational Gushel-Mukai fourfolds of special type.

Algebraic Geometry · Mathematics 2020-11-06 Giovanni Staglianò

In this paper we survey several intersection and non-intersection phenomena appearing in the realm of symplectic topology. We discuss their implications and finally outline some new relations of the subject to algebraic geometry.

Symplectic Geometry · Mathematics 2007-05-23 Paul Biran

In this survey article, we summarize some recent progress and problems on the symplectomorphism groups, with an emphasis on the connection to the space of ball-packings.

Symplectic Geometry · Mathematics 2019-10-08 Jun Li , Weiwei Wu

We define new topological invariants for Anosov representations and study them in detail for maximal representations of the fundamental group of a closed oriented surface into the symplectic group.

Differential Geometry · Mathematics 2014-02-26 Olivier Guichard , Anna Wienhard

A dynamical symmetry for supersymmetric extended objects is given.

High Energy Physics - Theory · Physics 2011-04-05 Jonas de Woul , Jens Hoppe , Douglas Lundholm , Martin Sundin

We discuss some examples in which symplectic monodromy (provably or conjecturally) splits off the symplectic mapping class group, hoping to illustrate different techniques and inputs to the arguments. Along the way we formulate several open…

Symplectic Geometry · Mathematics 2026-01-29 Ailsa Keating , Ivan Smith , Michael Wemyss

Extending our prior investigation, we give a new off-shell construction of theories of spinning particles propagating in Minkowski spaces with arbitrary $N$-extended supersymmetry on the world-line. The basis of the new off-shell…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Lubna Rana

We show, in this note, that on any symplectic supermanifold, even or odd, there exist an infinite dimensional affine space of symmetric connections, compatible to the symplectic form.

Symplectic Geometry · Mathematics 2014-09-11 Paul A. Blaga

We investigate orthogonal and symplectic bundles with parabolic structure, over a curve.

Algebraic Geometry · Mathematics 2012-03-30 Indranil Biswas , Souradeep Majumder , Michael Lennox Wong

We review recent progress in gauging maximal supergravity theories

High Energy Physics - Theory · Physics 2009-11-10 Bernard de Wit , Henning Samtleben , Mario Trigiante

Let $S=(C \times D)/G$ be a surface isogenous to a higher product of unmixed type with $p_g=q=0$, $G=(\mathbb{Z}/2)^3$ or $(\mathbb{Z}/2)^4$. We construct exceptional sequences of maximal length and quasiphantom categories on $S$.

Algebraic Geometry · Mathematics 2014-05-19 Kyoung-Seog Lee

We obtain some new inequalities of Chebyshev Type.

Numerical Analysis · Mathematics 2016-10-03 Andriy L. Shidlich , Stanislav O. Chaichenko

In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.

Number Theory · Mathematics 2010-08-03 Antal Bege , Kinga Fogarasi

We develop two novel approaches for constructing skewed and bimodal flexible distributions that can effectively generalize classical symmetric distributions. We illustrate the application of introduced techniques by extending normal,…

Methodology · Statistics 2021-07-01 Jamil Ownuk , Ahmad Nezakati , Hossein Baghishani

We provide new formulas for the coefficients in the partial fraction decomposition of the restricted partition generating function. These techniques allow us to partially resolve a recent conjecture of Sills and Zeilberger. We also describe…

Number Theory · Mathematics 2014-01-14 Cormac O'Sullivan

This paper gives a systematic construction of certain covers of finite semigroups. These covers will be used in future work on the complexity of finite semigroups.

Group Theory · Mathematics 2019-04-03 John L. Rhodes , Benjamin Steinberg , J. C. Birget

The topological classification of all known non-magnetic crystalline compounds is now complete, revealing thousands of new candidate topological materials waiting to be explored in the lab.

Materials Science · Physics 2019-03-12 Étienne Lantagne-Hurtubise , Marcel Franz

In this paper, we explore a new type of global symmetries$-$the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field…

High Energy Physics - Theory · Physics 2023-10-10 Yi-Nan Wang , Yi Zhang

Generalizations of Bell polynomials, Bell numbers, and Stirling numbers of the second kind have been introduced and their generating functions were evaluated.

Mathematical Physics · Physics 2015-05-20 Nick Laskin

We give a new characterization of pseudoconvex point, and of finite type point, using analytic discs.

Complex Variables · Mathematics 2007-05-23 Steven G. Krantz