Results 41 to 50 of about 31,583 (180)

HILBERT STRATIFOLDS AND A QUILLEN TYPE GEOMETRIC DESCRIPTION OF COHOMOLOGY FOR HILBERT MANIFOLDS

Forum of Mathematics, Sigma, 2018
In this paper we use tools from differential topology to give a geometric description of cohomology for Hilbert manifolds. Our model is Quillen’s geometric description of cobordism groups for finite-dimensional smooth manifolds [Quillen, ‘Elementary ...
MATTHIAS KRECK, HAGGAI TENE
doaj   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Toroidal and elliptic quiver BPS algebras and beyond

Journal of High Energy Physics, 2022
The quiver Yangian, an infinite-dimensional algebra introduced recently in [1], is the algebra underlying BPS state counting problems for toric Calabi-Yau three-folds.
Dmitry Galakhov, Wei Li, Masahito Yamazaki   +2 more
doaj   +1 more source

The hypertoric intersection cohomology ring

, 2008
We present a functorial computation of the equivariant intersection cohomology of a hypertoric variety, and endow it with a natural ring structure. When the hyperplane arrangement associated with the hypertoric variety is unimodular, we show that this ...
A. Björner, A.A. Beilinson, G. Barthel, G. Barthel, H. Konno, I. Mirković, J. Bernstein, K. Karu, M. Brion, M. Goresky, M. Goresky, M. Harada, M. Longueville de, N. Proudfoot, N. Proudfoot, N. Proudfoot, N. White, Nicholas Proudfoot, P. Bressler, P. Bressler, P. Deligne, P.D. Seymour, R. Bielawski, R. Stanley, S. Payne, T. Braden, T. Braden, T. Braden, T. Chang, T. Hausel, Tom Braden, V. Guillemin, V. Guillemin   +32 more
core   +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

An equivariant rim hook rule for quantum cohomology of Grassmannians [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
A driving question in (quantum) cohomology of flag varieties is to find non-recursive, positive combinatorial formulas for expressing the quantum product in a particularly nice basis, called the Schubert basis.
Elizabeth Beazley, Anna Bertiger, Kaisa Taipale   +2 more
doaj   +1 more source

Two-dimensional topological gravity and equivariant cohomology

, 1993
In this paper, we examine the analogy between topological string theory and equivariant cohomology. We also show that the equivariant cohomology of a topological conformal field theory carries a certain algebraic structure, which we call a gravity ...
B. Feigin, D. Friedan, E. Getzler, E. Witten, J.D.S. Jones, M.F. Atiyah, V.I. Arnold   +6 more
core   +1 more source

Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We study the equivariant Kuznetsov component KuG(X)$\mathrm{Ku}_G(X)$ of a general cubic fourfold X$X$ with a symplectic involution. We show that KuG(X)$\mathrm{Ku}_G(X)$ is equivalent to the derived category Db(S)$D^b(S)$ of a K3$K3$ surface S$S$, where S$S$ is given as a component of the fixed locus of the induced symplectic action on the ...
Laure Flapan, Sarah Frei, Lisa Marquand
wiley   +1 more source

Chern classes in equivariant bordism

Forum of Mathematics, Sigma
We introduce Chern classes in $U(m)$ -equivariant homotopical bordism that refine the Conner–Floyd–Chern classes in the $\mathbf {MU}$ -cohomology of $B U(m)$ .
Stefan Schwede
doaj   +1 more source

Generalizations of quasielliptic curves [PDF]

Épijournal de Géométrie Algébrique
We generalize the notion of quasielliptic curves, which have infinitesimal symmetries and exist only in characteristic two and three, to a remarkable hierarchy of regular curves having infinitesimal symmetries, defined in all characteristics and having ...
Cesar Hilario, Stefan Schröer
doaj   +1 more source