A Filtration of Unoriented Cobordism
Mehdi Khorami, Mark Mahowald
TL;DR
This paper introduces a new filtration of the unoriented cobordism ring utilizing the infinite symplectic group, constructing generators via the cup construction, advancing understanding of cobordism structures.
Contribution
It provides a novel filtration method for the unoriented cobordism ring using the infinite symplectic group and explicit generator constructions.
Findings
Filtration of the unoriented cobordism ring established.
Generators constructed using the cup construction.
Provides a systematic approach to cobordism ring analysis.
Abstract
We give a filtration of the unoriented cobordism ring using the infinite symplectic group, with polynomial generators given one at a time. The generating manifolds are also constructed using the cup construction.
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