Lectures on monopole Floer homology

Francesco Lin

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arXiv · 1605.03140

Lectures on monopole Floer homology

Francesco Lin

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Abstract

These lecture notes are a friendly introduction to monopole Floer homology. We discuss the relevant differential geometry and Morse theory involved in the definition. After developing the relation with the four-dimensional theory, our attention shifts to gradings and correction terms. Finally, we sketch the analogue in this setup of Manolescu's recent disproof of the long standing Triangulation Conjecture.

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BibTeX RIS

Francesco Lin. 2016-05-10. Lectures on monopole Floer homology. https://arxiv.org/abs/1605.03140

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