Topological Invariants in Algebraic Geometry
Abstract
Topological invariants are fundamental tools in modern mathematics, providing robust methods for distinguishing and classifying spaces that remain unchanged under continuous deformations. In algebraic geometry, these invariants bridge the gap between geometric intuition and algebraic formalism, enabling the study of complex algebraic varieties through their underlying topological structures. This article explores the concept of topological invariants, their key types—including Betti numbers, homology and cohomology groups, and fundamental groups—and their crucial role in algebraic geometry.
How to Cite This Article
Dr. Alan Turing, Emmy Noether, Srinivasa Ramanujan (2025). Topological Invariants in Algebraic Geometry . International Journal of Applied Mathematics and Numerical Research (IJAMNR), 1(2), 04-05.