PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 14, 2026International Mathematics Research Notices

Realization of Cohomology Classes in Grassmannians

View Full Paper
Ask AI
Bookmark
Share

Authors

İCİzzet CoşkunJRJulius Ross

Discussion

Loading...

Member takes

Overview

Classifies cohomology classes realized by irreducible subvarieties in Grassmannians, indicating geometric connections.

Key Points

  • This research aims to classify cohomology classes of Grassmannians that can be realized by irreducible subvarieties in specific dimensions and codimensions.
  • Classified cohomology classes in Grassmannians $G(2,n)$ for $n \leq 6$ and $G(3,6)$.
  • Focused on dimensions 2 and 3 with codimensions 2 and 3.
  • Completed classification of realizable cohomology classes in dimensions 2 and 3.
  • Identified all classes up to positive multiples that can be represented by irreducible subvarieties.

Cite This Study

Coşkun et al. (2026) studied this question.

synapsesocial.com/papers/6a05677ca550a87e60a1f91dhttps://doi.org/10.1093/imrn/rnag090
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Integral equivariant cohomology of affine Grassmannians2024 · 1 citations
  2. 2Topological Gysin Coherence for Algebraic Characteristic Classes of Singular Spaces2026
  3. 3Realizations of homology classes and projection areas2025
  4. 4Two dimensional versions of the affine Grassmannian and their geometric description2026
  5. 5Sums of Two Irreducible Galois Representations and the Homology of GL <sub> <i>n</i> </sub> (ℤ)2025