Relative Calabi–Yau structures. (12th February 2019)
- Record Type:
- Journal Article
- Title:
- Relative Calabi–Yau structures. (12th February 2019)
- Main Title:
- Relative Calabi–Yau structures
- Authors:
- Brav, Christopher
Dyckerhoff, Tobias - Abstract:
- Abstract : We introduce relative noncommutative Calabi–Yau structures defined on functors of differential graded categories. Examples arise in various contexts such as topology, algebraic geometry, and representation theory. Our main result is a composition law for Calabi–Yau cospans generalizing the classical composition of cobordisms of oriented manifolds. As an application, we construct Calabi–Yau structures on topological Fukaya categories of framed punctured Riemann surfaces.
- Is Part Of:
- Compositio mathematica. Volume 155:Number 2(2019)
- Journal:
- Compositio mathematica
- Issue:
- Volume 155:Number 2(2019)
- Issue Display:
- Volume 155, Issue 2 (2019)
- Year:
- 2019
- Volume:
- 155
- Issue:
- 2
- Issue Sort Value:
- 2019-0155-0002-0000
- Page Start:
- 372
- Page End:
- 412
- Publication Date:
- 2019-02-12
- Subjects:
- 18E30 (primary)
differential graded categories, -- noncommutative Calabi–Yau structures
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=COM ↗
- DOI:
- 10.1112/S0010437X19007024 ↗
- Languages:
- English
- ISSNs:
- 0010-437X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3366.000000
British Library STI - ELD Digital Store - Ingest File:
- 23111.xml