The geometric triangle for 3-dimensional Seiberg-Witten monopoles

Carey, Alan; Marcolli, Matilde; Wang, Bai-Ling

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

The geometric triangle for 3-dimensional Seiberg-Witten monopoles

Date

2003

Authors

Carey, Alan

Marcolli, Matilde

Wang, Bai-Ling

Publisher

World Scientific Publishing Company

Abstract

In this paper we prove the surgery formula relating the moduli spaces of solutions of suitably perturbed 3-dimensional Seiberg-Witten equations on a homology 3-sphere Y and on the 3-manifolds Y1 and Y0 obtained, respectively, by +1 and 0-surgery on a knot K in Y.