English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We study the behavior ofPin   (  2  )   ‐monopole Floer homology under connected sums. After constructing a (partially defined)    A  ∞   ‐module structure on thePin   (  2  )   ‐monopole Floer chain complex of a three‐manifold (in the spirit of Baldwin and Bloom's monopole category), we identify up to quasi‐isomorphism the Floer chain complex of a connected sum with a version of the    A  ∞   ‐tensor product of the modules of the summands. There is a naturally associated spectral sequence converging to the Floer groups of the connected sum whose    E  2    page is the    Tor    of the Floer groups of the summands. We discuss in detail a simple example, and use this computation to show that thePin   (  2  )   ‐monopole Floer homology of    S  3    has non‐trivial Massey products.

Pin(2)‐monopole Floer homology, higher compositions and connected sums