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作者:Anthony Bahri , Soumen Sarkar , Jongbaek Song
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3779-3810MSP
摘要:We examine the integral cohomology rings of certain families of$2n$--dimensional orbifolds $X$ that are equipped with a well-behavedaction of the $n$--dimensional real torus. These orbifolds arise from twodistinct but closely related combinatorial sources, namely fromcharacterist...
作者:Christopher Ohrt
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3665-3701MSP
摘要:This paper attempts to investigate the space of various characteristicclasses for smooth manifold bundleswith local system on the totalspaceinducing a finite holonomy covering. These classes are known astwisted higher torsion classes. We will give a system of axioms that werequir...
作者:Colin Adams
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3375-3397MSP
摘要:Augmented alternating links are links obtained by addingtrivial components that bound twice-punctured disks to nonsplit reducednon-$2$--braid prime alternating projections. These links are known to behyperbolic. Here, we extend to show that generalized augmented alternatinglinks,...
作者:Sabin Cautis
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3811-3836MSP
摘要:We explain how existing results (such as categorical $\mathfrak{sl}_n$ actions,associated braid group actions and infinite twists) can be used to definea triply graded link invariant which categorifies the \textsc{homfly} polynomialof links coloured by arbitrary partitions. The c...
作者:Fernando Muro
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3837-3852MSP
摘要:We correct a mistake in \href{http://dx.doi.org/10.2140/agt.2011.11.1541}{Algebr.\ Geom.\ Topol.\ 11 (2011) 1541--1599}on the construction of push-outsalong free morphisms of algebras over a nonsymmetric operad, and we fixthe affected results from there and a follow-up article\hr...
作者:Daniel Tubbenhauer , Pedro Vaz , Paul Wedrich
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3703-3749MSP
摘要:We use super $q$--Howe duality to provide diagrammaticpresentations of an idempotented form of the Heckealgebra and of categories of $\mathfrak{gl}_N$--modules(and, more generally, $\mathfrak{gl}_{N|M}$--modules) whoseobjects are tensor generated by exterior and symmetricpowers o...
作者:J P C Greenlees , Lennart Meier
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3547-3619MSP
摘要:Following Hu and Kriz, we study the $C_2$--spectra$\mathit{BP}\R\langle n\rangle$ and $E\R(n)$that refine the usual truncated Brown--Peterson and theJohnson--Wilson spectra. In particular, we show that they satisfyGorenstein duality with a representation grading shift and identif...
作者:Ian Zemke
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3461-3518MSP
摘要:We analyze the effect of adding, removing, and movingbasepoints on link Floer homology. We prove that adding or removingbasepoints via a procedure called quasistabilization is a naturaloperation on a certain version of link Floer homology, which we call$\operatorname{CFL}_{UV}^\i...
作者:Bernardo Villarreal
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3519-3545MSP
摘要:Let $G$ be a real linear algebraic group and $L$ a finitely generatedcosimplicial group. We prove that the space of homomorphisms $\operatorname{Hom}(L_n,G)$has a homotopy stable decomposition for each $n\geq 1$. When $G$ is acompact Lie group, we show that the decomposition is $...
作者:Alessio Carrega
来源:[J].Algebraic & Geometric Topology, 2017, Vol.17 (6), pp.3449-3460MSP
摘要:We show that the skein vector space of the $3$--torus is finitelygenerated. We showthat it is generated by nine elements: the empty set,some simple closed curves representing the nonzero elements of thefirst homology group with coefficients in~ $\Z_2$,and a link consistingof two ...

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