Header

UZH-Logo

Maintenance Infos

Block–Göttsche invariants from wall-crossing


Filippini, S A; Stoppa, J (2015). Block–Göttsche invariants from wall-crossing. Compositio Mathematica, 151(08):1543-1567.

Abstract

We show how some of the refined tropical counts of Block and Göttsche emerge from the wall-crossing formalism. This leads naturally to a definition of a class of putative<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:href="S0010437X14007994_inline1" xlink:type="simple" /><jats:tex-math>$q$</jats:tex-math></jats:alternatives></jats:inline-formula>-deformed Gromov–Witten invariants. We prove that this coincides with another natural<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:href="S0010437X14007994_inline2" xlink:type="simple" /><jats:tex-math>$q$</jats:tex-math></jats:alternatives></jats:inline-formula>-deformation, provided by a result of Reineke and Weist in the context of quiver representations, when the latter is well defined.

Abstract

We show how some of the refined tropical counts of Block and Göttsche emerge from the wall-crossing formalism. This leads naturally to a definition of a class of putative<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:href="S0010437X14007994_inline1" xlink:type="simple" /><jats:tex-math>$q$</jats:tex-math></jats:alternatives></jats:inline-formula>-deformed Gromov–Witten invariants. We prove that this coincides with another natural<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:href="S0010437X14007994_inline2" xlink:type="simple" /><jats:tex-math>$q$</jats:tex-math></jats:alternatives></jats:inline-formula>-deformation, provided by a result of Reineke and Weist in the context of quiver representations, when the latter is well defined.

Statistics

Citations

Dimensions.ai Metrics
5 citations in Web of Science®
5 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

0 downloads since deposited on 12 Oct 2018
0 downloads since 12 months

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:Unspecified
Language:English
Date:1 August 2015
Deposited On:12 Oct 2018 10:32
Last Modified:24 Sep 2019 23:42
Publisher:Cambridge University Press
ISSN:0010-437X
OA Status:Closed
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1112/s0010437x14007994
Related URLs:https://www.swissbib.ch/Search/Results?lookfor=nationallicencecambridge101112S0010437X14007994 (Library Catalogue)

Download

Closed Access: Download allowed only for UZH members

Content: Published Version
Language: English
Filetype: PDF (Nationallizenz 142-005) - Registered users only until 1 August 2020
Size: 814kB
View at publisher
Embargo till: 2020-08-01