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Autor principal:	Ladu, Roberto
Formato:	Preprint
Publicado:	2025
Materias:	Geometric Topology 57R80, 57R58, 57R55, 57K41
Acceso en línea:	https://arxiv.org/abs/2501.08750
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

_version_	1866911014661914624
author	Ladu, Roberto
author_facet	Ladu, Roberto
contents	We study $5$-dimensional $h$-cobordisms of Morgan-Szabó complexity $2$. We compute the monopole Floer homology and the action of the twisting involution of the protocork boundary associated with such $h$-cobordisms, obtaining an obstruction for $h$-cobordisms between exotic pairs to have minimal complexity. We construct the first examples of $h$-cobordisms of non-minimal, in fact, arbitrarily large, complexity between an exotic pair of closed, $1$-connected $4$-manifolds. Further applications include strong corks.
format	Preprint
id	arxiv_https___arxiv_org_abs_2501_08750
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	On $h$-cobordisms of complexity $2$ Ladu, Roberto Geometric Topology 57R80, 57R58, 57R55, 57K41 We study $5$-dimensional $h$-cobordisms of Morgan-Szabó complexity $2$. We compute the monopole Floer homology and the action of the twisting involution of the protocork boundary associated with such $h$-cobordisms, obtaining an obstruction for $h$-cobordisms between exotic pairs to have minimal complexity. We construct the first examples of $h$-cobordisms of non-minimal, in fact, arbitrarily large, complexity between an exotic pair of closed, $1$-connected $4$-manifolds. Further applications include strong corks.
title	On $h$-cobordisms of complexity $2$
topic	Geometric Topology 57R80, 57R58, 57R55, 57K41
url	https://arxiv.org/abs/2501.08750

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