arXiv
Open Access
2025
Balloon Animal Maps with Applications to the Cohomology of Hypertoric Hitchin Systems
Evan Sundbo
Abstrak
In this article we introduce the notion of a balloon animal map between broken toric varieties and construct several long exact sequences in cohomology related to them. We give a new proof of the deletion-contraction relation on hypertoric Hitchin systems of Dansco-Mcbreen-Shende and present some refinements of it. The end result is a formula for the Poincaré polynomial of any hypertoric Hitchin system associated to a graph with first Betti number 2 along with a recipe to calculate the Poincaré polynomial of any hypertoric Hitchin system, given knowledge of a finite number of base cases.
Topik & Kata Kunci
Penulis (1)
E
Evan Sundbo
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
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