Pub Date : 2021-08-31DOI: 10.1017/9781108692458.007
{"title":"Glance Through The Mirror","authors":"","doi":"10.1017/9781108692458.007","DOIUrl":"https://doi.org/10.1017/9781108692458.007","url":null,"abstract":"","PeriodicalId":118579,"journal":{"name":"A Gentle Introduction to Homological Mirror Symmetry","volume":"62 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114003671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-31DOI: 10.1017/9781108692458.004
Irina Bobkova, P. G. Goerss, H. Henn, Viet-Cuong Pham, Vesna Stojanoska
. We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava E -theory, H ∗ ( G 2 , E t ), at p = 2, for 0 ≤ t < 12, using the Algebraic Duality Spectral Sequence. Furthermore, in that same range, we compute the d 3 -differentials in the homotopy fixed point spectral sequence for the K (2)-local sphere spectrum. These cohomology groups and differentials play a central role in K (2)-local stable homotopy theory, in particular for the analysis of the K (2)-local Picard group.
. 利用代数对偶谱序列计算了Morava E -理论中具有系数的Morava稳定群在p = 2时H∗(g2, e2)的连续上同调。此外,在相同的范围内,我们计算了K(2)局部球谱在同伦不动点谱序列中的d3 -微分。这些上同调群和微分在K(2)-局部稳定同伦理论中起着核心作用,特别是在K(2)-局部Picard群的分析中。
{"title":"Cohomology","authors":"Irina Bobkova, P. G. Goerss, H. Henn, Viet-Cuong Pham, Vesna Stojanoska","doi":"10.1017/9781108692458.004","DOIUrl":"https://doi.org/10.1017/9781108692458.004","url":null,"abstract":". We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava E -theory, H ∗ ( G 2 , E t ), at p = 2, for 0 ≤ t < 12, using the Algebraic Duality Spectral Sequence. Furthermore, in that same range, we compute the d 3 -differentials in the homotopy fixed point spectral sequence for the K (2)-local sphere spectrum. These cohomology groups and differentials play a central role in K (2)-local stable homotopy theory, in particular for the analysis of the K (2)-local Picard group.","PeriodicalId":118579,"journal":{"name":"A Gentle Introduction to Homological Mirror Symmetry","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132944373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-08-31DOI: 10.5040/9781501329227-0028094
D. Laing
We show that the global human capital increase during the 20 th century contributed to structural transformation. We document that almost half of the decline in aggregate agricultural employment was driven by new birth cohorts entering the labor market. We use data on educational attainment and compile a comprehensive list of policy reforms to interpret the di ff erences in agricultural employment across cohorts. We find that the increase in schooling led to a sharp reduction in the agricultural labor supply by equipping younger cohorts with skills more valued out of agriculture. Interpreted through a model of frictional labor reallocation, these facts imply that human capital growth accounts for about 20% of the global decline in agricultural employment. ∗ We thank Rachel Ngai for an insightful discussion of an early version of the paper. We thank for helpful comments Andrew Atkeson, Martin Beraja, Francesco Caselli, Joe Kaboski, David Lagakos, Tim Lee, Jonathan Heathcote, Ben Moll, Simon Mongey, Karthik Muralidharan, Michael Peters, Todd Schoellman, Jonathan Vogel. We have also benefited from the reactions of several seminar and conference audience, including participants at the CEPR MG Annual Programme Meeting, Barcelona GSE Summer Forum, MIT, UBC, and UCLA. Angus Lewis and Xiao Ma provided excellent research assistance. †
{"title":"The A-Side","authors":"D. Laing","doi":"10.5040/9781501329227-0028094","DOIUrl":"https://doi.org/10.5040/9781501329227-0028094","url":null,"abstract":"We show that the global human capital increase during the 20 th century contributed to structural transformation. We document that almost half of the decline in aggregate agricultural employment was driven by new birth cohorts entering the labor market. We use data on educational attainment and compile a comprehensive list of policy reforms to interpret the di ff erences in agricultural employment across cohorts. We find that the increase in schooling led to a sharp reduction in the agricultural labor supply by equipping younger cohorts with skills more valued out of agriculture. Interpreted through a model of frictional labor reallocation, these facts imply that human capital growth accounts for about 20% of the global decline in agricultural employment. ∗ We thank Rachel Ngai for an insightful discussion of an early version of the paper. We thank for helpful comments Andrew Atkeson, Martin Beraja, Francesco Caselli, Joe Kaboski, David Lagakos, Tim Lee, Jonathan Heathcote, Ben Moll, Simon Mongey, Karthik Muralidharan, Michael Peters, Todd Schoellman, Jonathan Vogel. We have also benefited from the reactions of several seminar and conference audience, including participants at the CEPR MG Annual Programme Meeting, Barcelona GSE Summer Forum, MIT, UBC, and UCLA. Angus Lewis and Xiao Ma provided excellent research assistance. †","PeriodicalId":118579,"journal":{"name":"A Gentle Introduction to Homological Mirror Symmetry","volume":"145 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114514629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}