Imperial College London
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ProfessorJohannesNicaise

Faculty of Natural Sciences, Department of Mathematics

Professor of Pure Mathematics
 
 
 
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j.nicaise CV

 
 
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Location

 

629Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Nicaise:2018:10.2140/gt.2018.22.3175,
author = {Nicaise, J and Payne, S and Schroeter, F},
doi = {10.2140/gt.2018.22.3175},
journal = {Geometry and Topology},
pages = {3175--3234},
title = {Tropical refined curve counting via motivic integration},
url = {http://dx.doi.org/10.2140/gt.2018.22.3175},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We propose a geometric interpretation of Block and G\"ottsche's refinedtropical curve counting invariants in terms of virtual$\chi_{-y}$-specializations of motivic measures of semialgebraic sets inrelative Hilbert schemes. We prove that this interpretation is correct forlinear series of genus 1, and in arbitrary genus after specializing from$\chi_{-y}$ to Euler characteristic.
AU  - Nicaise,J
AU  - Payne,S
AU  - Schroeter,F
DO  - 10.2140/gt.2018.22.3175
EP  - 3234
PY  - 2018///
SN  - 1364-0380
SP  - 3175
TI  - Tropical refined curve counting via motivic integration
T2  - Geometry and Topology
UR  - http://dx.doi.org/10.2140/gt.2018.22.3175
UR  - http://arxiv.org/abs/1603.08424v2
ER  -
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