Explore topological invariants arising in geometry in this 35-minute lecture by Jaya N Iyer, presented at the Inaugural Meeting of Asian-Oceanian Women in Mathematics. Delve into advanced mathematical concepts as part of a broader discussion meeting aimed at fostering collaboration and support among women mathematicians in the Asian-Oceanian region. Gain insights from distinguished researchers, learn about career opportunities in mathematical research, and participate in interactive sessions designed to address challenges faced by women in the field. Engage with this hybrid event, hosted by the International Centre for Theoretical Sciences, which promotes inclusivity and diversity in mathematics.