arXiv Open Access 2025

The link surgery formula and equivariant surgeries

Kristen Hendricks Abhishek Mallick Matthew Stoffregen Ian Zemke

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Abstrak

We prove an equivariant version of the Heegaard Floer link surgery formula. As a special case, this gives an equivariant knot surgery formula for equivariant knots in $S^3$. Our proof goes by way of a naturality theorem for certain bordered modules described by the last author. As a sample application, we prove the kernel of the forgetful map from the equivariant homology cobordism group to the homology cobordism group contains a $\Z^\infty$-summand.

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math.GT

Penulis (4)

Kristen Hendricks

Abhishek Mallick

Matthew Stoffregen

Ian Zemke

Format Sitasi

APA MLA BibTeX

Hendricks, K., Mallick, A., Stoffregen, M., Zemke, I. (2025). The link surgery formula and equivariant surgeries. https://arxiv.org/abs/2507.12809

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓