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 ...