Results 21 to 30 of about 104 (84)

Isometric immersions into three‐dimensional unimodular metric Lie groups

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro   +2 more
wiley   +1 more source

Cohomological Yang-Mills Theories on Kahler 3-Folds

open access: yes, 2001
We study topological gauge theories with N-c = (2, 0) supersymmetry based on stable bundles on general Kahler 3-folds. In order to have a theory that is well defined and well behaved, we consider a model based on an extension of the usual holomorphic ...
Hofman, C.   +3 more
core   +1 more source

Caracterizaciones algebro-geométricas de operadores diferenciales conmutativos en anillos semi-graduados

open access: yes, 2023
In this thesis, we study algebro-geometric characterizations of commuting differential operators in families of semi-graded rings. First, we present some ring-theoretical notions of semi-graded rings that are necessary throughout the thesis. We include a
Niño Torres, Diego Arturo
core   +1 more source

Pinwheels in symplectic rational and ruled surfaces and non‐squeezing of rational homology balls

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We use almost toric fibrations and the symplectic rational blow‐up to determine when certain Lagrangian pinwheels, which we call liminal, embed in symplectic rational and ruled surfaces. The case of L2,1$L_{2,1}$‐pinwheels, namely Lagrangian RP2s$\mathbb {R}P^2{\rm s}$, answers a question of Kronheimer in the negative, exhibiting a symplectic ...
Nikolas Adaloglou, Johannes Hauber
wiley   +1 more source

Bergman kernels and equilibrium measures for line bundles over projective manifolds

open access: yes, 2009
Let L be a holomorphic line bundle over a compact complex projective Hermitian manifold X. Any fixed smooth hermitian metric h on L induces a Hilbert space structure on the space of global holomorphic sections with values in the k th tensor power of L ...
Berman, Robert,, Berman, Robert
core   +1 more source

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley   +1 more source

Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley   +1 more source

Abelianization and Floer homology of Lagrangians in clean intersection [PDF]

open access: yes, 2016
This thesis is split up into two parts each revolving around Floer homology and quantum cohomology of closed monotone symplectic manifolds. In the first part we consider symplectic manifolds obtained by symplectic reduction.
Schmäschke, Felix
core   +2 more sources

Simple homotopy theory for Fukaya categories

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory

open access: yes, 2019
Research in functional analysis and operator theory over the last ten years in India has broadly been under the following areas: Hilbert space operator theory and certain special subsets of DOUBLE-STRUCK CAPITAL C2 and DOUBLE-STRUCK CAPITAL C3 where ...
Rao, T. S. S. R. K.   +2 more
core   +1 more source

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