Results 31 to 40 of about 8,126 (80)

Two problems in the theory of differential equations

, 2019
1) The differential equation considered in terms of exterior differential forms, as \'E.Cartan did, singles out a differential ideal in the supercommutative superalgebra of differential forms, hence an affine supervariety. In view of this observation, it
Leites, Dimitry
core   +1 more source

The motive of the Hilbert scheme of points in all dimensions

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo, Sergej Monavari, Riccardo Moschetti, Andrea T. Ricolfi   +3 more
wiley   +1 more source

Local equivalence and refinements of Rasmussen's s‐invariant

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield, Robert Lipshitz, Dirk Schütz   +2 more
wiley   +1 more source

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

The versal deformation of small resolutions of conic bundles over P1×P1${\mathbb {P}}^1\times {\mathbb {P}}^1$ with two sections blown down

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley   +1 more source

The Fuzzy Supersphere

, 1998
We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommutative $Z_{2}$-graded algebras tending in a suitable limit to a dense subalgebra of the $Z_{2}$-graded algebra of ${\cal H}^{\infty}$-functions on the $(2| 2)$-dimensional ...
Balachandran, Bartocci, Bartocci, Berezin, Bryant, Connes, Constantinescu, Cornwell, Crane, Daumens, De Witt, Doplicher, Dubois-Violette, Dubois-Violette, Dubois-Violette, Dubois-Violette, Dubois-Violette, Fuks, Fuks, G. Reiter, Greub, Grosse, Grosse, Grosse, Grosse, Grosse, H. Grosse, Hawkins, Jadczyk, Jadczyk, Kac, Kac, Kalau, Kastler, Kerner, Klimčik, Kostant, Leites, Madore, Madore, Madore, Manin, Mezincescu, Nahm, Nahm, Penkov, Pierce, Pittner, Rogers, Rogers, Scheunert, Scheunert, Scheunert, Scheunert, Teofilatto, Treves, Zeng   +56 more
core   +5 more sources

FTheoryTools: Advancing Computational Capabilities for F‐Theory Research

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies, Miķelis E. Miķelsons, Andrew P. Turner   +2 more
wiley   +1 more source

Abelian Livšic theorems for Anosov flows

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
wiley   +1 more source

Extensions, expansions, Lie algebra cohomology and enlarged superspaces

, 2004
After briefly reviewing the methods that allow us to derive consistently new Lie (super)algebras from given ones, we consider enlarged superspaces and superalgebras, their relevance and some possible applications.Comment: 9 pages.
Aldaya V, Angelova L Grassi P A, Bars S, Binegar B, Castellani L, de Azcárraga J A, de Azcárraga J A Izquierdo J M, Duff M J, Dyson F J, Gerstenhaber M, Hatsuda M, Holten J W, Inönü E, Inönü E, J A de Azcárraga, J M Izquierdo, M Picón, Nastase H, Nijenhuis A, Nijenhuis A, O Varela, Richardson R W, Sakaguchi M, Sakaguchi M, Townsend P, Townsend P, Weimar-Woods E, Zanelli J   +27 more
core   +1 more source

Siegel–Veech constants for cyclic covers of generic translation surfaces

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino, Aaron Calderon, Carlos Matheus, Nick Salter, Martin Schmoll   +4 more
wiley   +1 more source