activity
20032020
most citedTopology and geometry of the canonical action of on the complex Grassmannian and the complex projective space

15 citations · 17 across the 10 of their papers we have counts for

collaborators

13 papers

math.AT2020

A resolution of singularities for the orbit spaces

Victor M. Buchstaber, Svjetlana Terzic

The problem of the description of the orbit space for the standard action of the torus on a complex Grassmann manifold is widely known and it…

math.AT2018

Toric topology of the complex Grassmann manifolds

Victor M. Buchstaber, Svjetlana Terzic

The family of the complex Grassmann manifolds with a canonical action of the torus and the analogue of the moment map for the…

math.DG2017

On geometric formality of rationally elliitic manifolds in dimensions and

Svjetlana Terzic

We discuss the question of geometric formality for rationally elliptic manifolds of dimension and . We prove that a geometrically formal six-dimensional biquotient with $b_{…

math.AT2016

The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a four-manifold

Svjetlana Terzic

We provide the rational-homotopic proof that the ranks of the homotopy groups of a simply connected four-manifold depend only on its second Betti number. We also consider the based…

math.AT2016

Geometric formality of rationally elliptic manifolds in small dimensions

Svjetlana Terzic

We classify simply connected rationally elliptic manifolds of dimension five and those of dimension six with small Betti numbers from the point of view of their rational cohomology…

math.AT2014★ 15 cited

Topology and geometry of the canonical action of on the complex Grassmannian and the complex projective space

Victor M. Buchstaber, Svjetlana Terzic

We consider the canonical action of the compact torus on the Grassmann manifold and prove that the orbit space is homeomorphic to the sphere . We…