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PreprintCC BY-NC-SA 4.0arXiv

Inequalities for 4-Manifolds with Ends using Fibered boundary metric and Seiberg-Witten Equations

  • Shyamal Kumar Hui
  • Chandan Kumar Adak
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Abstract

We deduce a new inequality using the Hitchin-Thorpe inequality for noncompact complete four-dimensional manifolds with fibered geometry at infinity and Seiberg-Witten gauge-theoretic techniques. Fibered geometry at infinity is either fibered boundary metric or fibered cusp metric. We prove it for fibered boundary metric when the fiber at boundary is a single point.

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Cite

BibTeXRIS
BibTeX
@misc{hui2026inequalities,
  title = {{Inequalities for 4-Manifolds with Ends using Fibered boundary metric and Seiberg-Witten Equations}},
  author = {Shyamal Kumar Hui and Chandan Kumar Adak},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16806},
  eprint = {2609.16806},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16806},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Inequalities for 4-Manifolds with Ends using Fibered boundary metric and Seiberg-Witten Equations
AU  - Shyamal Kumar Hui
AU  - Chandan Kumar Adak
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16806
UR  - https://arxiv.org/abs/2609.16806
AB  - We deduce a new inequality using the Hitchin-Thorpe inequality for noncompact complete four-dimensional manifolds with fibered geometry at infinity and Seiberg-Witten gauge-theoretic techniques. Fibered geometry at infinity is either fibered boundary metric or fibered cusp metric. We prove it for fibered boundary metric when the fiber at boundary is a single point.
ER  -