A coarse stratification of the monster tower
Alex Castro, Susan Jane Colley, Gary Kennedy, and Corey Shanbrom
TL;DR
This paper introduces a natural stratification of the monster tower, a hierarchical space structure used to parameterize curvilinear data up to a certain order, enhancing understanding of its geometric properties.
Contribution
It provides a detailed description and analysis of a natural stratification within the monster tower, a novel approach to understanding its structure.
Findings
Stratification clarifies the geometric structure of the monster tower.
Analysis reveals new properties of the stratified spaces.
Potential applications in differential geometry and algebraic geometry.
Abstract
The monster tower is a tower of spaces over a specified base; each space in the tower is a parameter space for curvilinear data up to a specified order. We describe and analyze a natural stratification of these spaces.
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