Results 61 to 70 of about 1,001 (184)

Número de Milnor associado a curvas reduzidas

, 2016
O objetivo deste trabalho é estudar curvas reduzidas. Associado a elas, Buchweitz e Greuel definem um número, chamado número de Milnor de curvas reduzidas, pois no caso de curvas planas este coincide com o número de Milnor definido por Milnor.
Santana, Hellen Monção de Carvalho
core   +1 more source

Floer theory for the variation operator of an isolated singularity

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +1 more source

Computer algebra and Bruce-Roberts Milnor number (Developments in Computer Algebra : Recent Research and Re-Formation of Basic Theory) [PDF]

, 2017
Bruce-Roberts Milnor number is a generarization of the Milnor number, a multiplicity of an isolated critical point of a holomorphic function germ. This number is defined for a critical point of a holomorphic function on a singular variety.
鍋島, 克輔, 伊澤, 毅, 田島, 慎一   +2 more
core  

Structure theorems for braided Hopf algebras

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley   +1 more source

Milnor number associated to reduced curves

, 2016
O objetivo deste trabalho é estudar curvas reduzidas. Associado a elas, Buchweitz e Greuel definem um número, chamado número de Milnor de curvas reduzidas, pois no caso de curvas planas este coincide com o número de Milnor definido por Milnor.
Santana, Hellen Monção de Carvalho [UNESP]
core  

On Milnor classes of constructible functions [PDF]

, 2019
The main goal of this thesis is to present a generalization of the important invariant of the singularity theory, called the Milnor number. Such generalization is what we call the logarithmic Milnor number.
Silva, Mauri Pereira da
core  

Entropy stability and Milnor-Thurston invariants for Bowen-Series-like maps

, 2023
We define a family of discontinuous maps on the circle, called Bowen-Series-like maps, for geometric presentations of surface groups. The family has $2N$ parameters, where $2N$ is the number of generators of the presentation.
Manosas, Francesc, Alsedà, Lluís, Juher, David, Los, J., Juher, D., Mañosas, F., Los, Jérôme, Alsedà, Ll.   +7 more
core   +1 more source

Persistence of unknottedness of clean Lagrangian intersections

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

MILNOR NUMBER OF PAIRS AND PENCILS OF PLANE HOLOMORPHIC GERMS

, 2015
We introduce a Milnor number of pairs of plane holomorphic germs and investigate the relation between the Milnor numbers in a pencil of such ...
Szawlowski, Adrian
core  

L-subalgebras, Milnor basis, and cohomology of Eilenberg-MacLane spaces

, 1999
We describe mod p cohomology rings of Eilenberg-MacLane spaces in terms of the Milnor basis rather than in terms of admissible monomials of the Steenrod algebra.
Tamanoi, Hirotaka
core   +1 more source