Results 81 to 90 of about 1,961,324 (211)
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Local multiplicativity of perverse filtrations
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley +1 more source
, 2018 This course is a first course in algebraic topology. The emphasis is on homology and cohomology theory, including cup products, Kunneth formulas, intersection pairings, and the Lefschetz fixed point ...
Lawson, Tyler
core
The mod 2 Seiberg–Witten invariants of spin structures and spin families
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
wiley +1 more source
Corrigendum: “Zeros of polynomials in derivatives of automorphic L$L$‐functions”
Mathematika, Volume 73, Issue 1, January 2027.
Anji Dong +2 more
wiley +1 more source
The Legendrian Hopf link has exactly two Lagrangian fillings
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are all.
Bryce Thomson
wiley +1 more source
Nontrivial Massey products on compact Kähler manifolds
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract By a result of Deligne, Griffiths, Morgan, and Sullivan, compact Kähler manifolds are rationally formal. In contrast to this, we show that the pluripotential quasi‐isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham cohomology algebra with its real ...
Giovanni Placini +2 more
wiley +1 more source
Subwavelength Topology Optimization With Feature‐Mapping
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT Acoustic topology optimization has been extensively studied since the earliest developments of structural optimization, and substantial progress has been made in the design of acoustic devices. More recently, wave‐focusing applications have attracted growing interest.
Felix Huber, Fabian Wein, Florian Toth
wiley +1 more source
Methods in Ecology and Evolution, Volume 17, Issue 11, Page 3157-3169, November 2026.Abstract Geometric morphometrics (GM) is widely used to study phenotypic variation in ecological and evolutionary research, but the throughput of manual landmark digitization limits how large morphometric datasets can practically become, especially in field studies that would benefit from rapid on‐site feedback.
Cristobal Bragagnolo +3 more
wiley +1 more source
, 1996 Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics.
Srinivas, V
core +1 more source