Given a Hamiltonian torus action on a symplectic manifold, Teleman and Fukaya have proposed that the Fukaya category of each symplectic quotient should be equivalent to an equivariant Fukaya category of the original manifold. We lay out new conjectures that extend this story – in certain situations – to singular values of the moment map. These include a proposal for how, in some cases, we can recover the non-equivariant Fukaya category of the original manifold starting from data on the quotient.

To justify our conjectures, we pass through the mirror and work out numerous examples, using well-established heuristics in toric mirror symmetry. We also discuss the algebraic and categorical structures that underlie our story.

While the previous studies of the world history of literature are mostly concerned with the cross-cultural dissemination of literature, this article intends to analyse the intermediality of world literature in light of intermedial studies. It argues that the cross-cultural transmissions of literature are often entangled with and empowered by the intermedial interactions between literature and different forms of art. Under the theoretical framework of cross-cultural and intermedial studies, two representative Chinese literary works are discussed at length, namely Mulan ci (The Ballad of Mulan, sixth century) and Hong gaoliang (Red Sorghum, 1987). In addition to a careful analysis of their respective history of overseas transmissions, a comparative study of the two, an ancient poem and a modern novel, is carried out to show how the evolution of media has contributed to the cross-cultural transmissions of literature.

The intensity of the turbulence in tokamaks and stellarators depends on its ability to excite and sustain zonal flows. Insight into this physics may be gained by studying the ‘residual’, i.e. the late-time linear response of the system to an initial perturbation. We investigate this zonal-flow residual in the limit of a small magnetic mirror ratio, where we find that the typical quadratic approximation to RH (Rosenbluth & Hinton, 1998 Phys. Rev. Lett. vol. 80, issue 4, pp. 724–727) breaks down. Barely passing particles are in this limit central in determining the resulting level of the residual, which we estimate analytically. The role played by the population with large orbit width provides valuable physical insight into the response of the residual beyond this limit. Applying this result to tokamak, quasi-symmetric and quasi-isodynamic equilibria, using a near-axis approximation, we identify the effect to be more relevant (although small) in the core of quasi-axisymmetric fields, where the residual is smallest. The analysis in the paper also clarifies the relationship between the residual and the geodesic acoustic mode, whose typical theoretical set-ups are similar.

It is thought that isolated neutron stars receive a natal kick velocity at birth nearly aligned with their spin axis. Direct observational confirmation of this alignment is currently limited to a single source in a supernova remnant (PSR J0538+2817), for which the three-dimensional velocity has been well constrained. Meanwhile, pulsar polarisation statistics suggest the existence of a spin-kick correlation, though both aligned and orthogonal cases remain possible. However, if the velocities of radiopulsars are predominantly aligned with their spin axes, a systematic difference in the observed transverse velocities of pulsars with small and large magnetic obliquities would be expected. In particular, due to projection effects, weakly oblique rotators should exhibit smaller, less scattered transverse velocities. Conversely, the transverse velocities of pulsars with large magnetic inclination should reflect their actual three-dimensional velocities. This study uses this idea to analyse samples of 13 weakly and 25 strongly oblique pulsars with known distances and proper motions. We find that their peculiar velocities are distributed differently, with statistical confidence levels of 0.007 and 0.016 according to the Anderson–Darling and Kolmogorov–Smirnov tests, respectively. We performed a detailed population synthesis of isolated pulsars, considering the evolution of their viewing geometry in isotropic and spin-aligned kick scenarios. The observed split in the transverse velocity distributions and its amplitude are consistent with the spin-aligned kick model, but not with the isotropic case. At the same time, an orthogonal kick would predict a similar effect, but with the opposite sign. This provides robust support for pulsar spin kick alignment based on statistics, independently of polarisation.

This article offers a four-part argument in favor of settlers adopting an ethics of recognition in negotiations with Indigenous peoples to support decolonization in North America. Part 1 examines theories of decolonization offered by Indigenous scholars, who show that ethical practices within Indigenous communities are necessary for decolonization. Part 2 focuses on James Tully’s revision of the liberal politics of recognition (LPR), arguing that Tully brings the LPR closer to the aims of decolonization. Part 3 argues that his innovations do not sufficiently acknowledge how inequality undermines the freedom he champions. Part 4 draws on Judith Butler’s interpretation of Hegelian recognition and Leanne Betasamosake Simpson’s idea of recognition to sketch an ethics that minimizes the inequalities of participants in the political negotiations Tully theorizes. Minimizing inequality will promote the greater freedom needed for the legitimacy of negotiations, making them a possible vehicle for decolonization.

New musical instruments of the electronic and digital eras have explored spatialisation through multidimensional speaker arrays. Many facets of 2D and 3D sound localisation have been investigated, often in tandem with immersive fixed-media compositions: spatial trajectory and panning; physics-based effects such as artificial acoustics, reverberation and Doppler shifts; and spatially derived synthesis methods. Within the realm of augmented spatial string instruments, the EV distinguishes itself through a unique realisation of the possibilities afforded by these technologies. Initially conceived as a tool for convolving the timbres of synthesised and acoustic string signals, the EV’s exploration of spatial sound has led to new experiments with timbre. Over time, additional sound-generation modules have been integrated, resulting in an increasingly versatile palette for immersive composition. Looking forward, the EV presents compelling opportunities for sonic innovation.

In many countries, overall animal experimentation is not significantly decreasing or becoming less severe. Does this show that these countries’ programs to promote alternatives and the “three Rs” of “replace, reduce, refine” are failing? Scholars and activists sometimes take this for granted, but representatives of “three Rs” programs have disagreed. This article makes two contributions to the debate: one conceptual and one normative. First, it draws attention to the distinction between evaluating impact (whether a program makes a difference) and evaluating sufficiency (whether a program makes enough of a difference to achieve its goals). Total numbers are typically unhelpful in assessing impact, but depending on goals, they can be relevant in assessing sufficiency. Second, this article argues that an overall decrease in harm to animals in experimentation is a sensible policy goal. This article concludes with suggestions for how to go beyond the “three Rs” to effect overall change.

We prove lower bounds on the density of regular minimal cones of dimension less than seven provided the complements of the cones are topologically nontrivial.

Both gesture and talk are basic building blocks of face-to-face conversation. In this study, we address the temporal dynamics of hand gesture phases relative to places and types of turn transition. We annotated gesture features and measured temporal aspects of gesture related to speech in two languages, German and Swedish. We found variation in the temporal relationships of gesture types and alignment of gesture phases that relate to the management of turn-taking in conversation. Specifically, the frequency of different gesture phases accompanying the offset of speech differed depending on whether the same speaker held the floor or whether a new speaker took up a turn. In addition, we found that differences in temporal alignment of gesture phases can distinguish between the type of turn transition that is upcoming up to a second before the place of transition is reached. Our results emphasize the importance of the interaction of the verbal and the gestural modality to maintain the smooth flow of conversation.

We construct an fpqc gerbe $\mathcal {E}_{\dot {V}}$ over a global function field F such that for a connected reductive group G over F with finite central subgroup Z, the set of $G_{\mathcal {E}_{\dot {V}}}$-torsors contains a subset $H^{1}(\mathcal {E}_{\dot {V}}, Z \to G)$ which allows one to define a global notion of (Z-)rigid inner forms. There is a localization map $H^{1}(\mathcal {E}_{\dot {V}}, Z \to G) \to H^{1}(\mathcal {E}_{v}, Z \to G)$, where the latter parametrizes local rigid inner forms (cf. [8, 6]) which allows us to organize local rigid inner forms across all places v into coherent families. Doing so enables a construction of (conjectural) global L-packets and a conjectural formula for the multiplicity of an automorphic representation $\pi $ in the discrete spectrum of G in terms of these L-packets. We also show that, for a connected reductive group G over a global function field F, the adelic transfer factor $\Delta _{\mathbb {A}}$ for the ring of adeles $\mathbb {A}$ of F serving an endoscopic datum for G decomposes as the product of the normalized local transfer factors from [6].

The pandemic of Covid-19 exposed critical gaps in social policy and underscored the foundational role of families and households in both societal and economic stability. This introductory chapter to a Special Issue explores the interdependence between formal economic participation and unpaid domestic labour – collectively referred to as ‘social reproduction’. Drawing on feminist political economy, the chapter addresses how gendered and undervalued reproductive labour is essential to economic growth and the realisation of international commitments such as the Sustainable Development Goals, particularly gender equality and inclusive growth. This Special Issue uses South Korea as a comparative case study due to its unique economic trajectory, rapid demographic ageing, stark gender inequalities, and limited social protection systems. The country’s long working hours, low fertility rate, and pronounced wage and care burdens on women illustrate how inadequate social reproduction support can threaten broader social and economic sustainability. The pandemic further intensified these issues, disrupting institutional supports and deepening inequalities. This Special Issue collectively examines how policies across different contexts either alleviate or exacerbate the tensions between productive and reproductive labour, using South Korea as a focal point for comparison. This comparative analysis highlights the need for structural reforms and cultural change to support effective social reproduction policies, emphasising that gender-equal leave, accessible childcare, and shared caregiving responsibilities are crucial for work-family balance and social well-being. South Korea’s experience illustrates both progress and ongoing challenges, offering valuable lessons on the limitations of market-driven approaches and the importance of resilient, state-supported family policies.

Collisionless shocks are frequently analysed using the magnetohydrodynamic (MHD) formalism, even though the required collisionality hypothesis is not fulfilled. In a previous work (Bret & Narayan, 2018 J. Plasma Phys. vol. 84, p. 905840604), we presented a model of collisionless shock displaying an important departure from the expected MHD behaviour, in the case of a strong flow aligned magnetic field. This model was non-relativistic. Here, it is extended to the relativistic regime, considering zero upstream pressure and upstream Lorentz factor $\gg 1$. The result agrees satisfactorily with Particle-in-Cell simulations and shows a similar, and important, departure from the MHD prediction. In the strong field regime, the density jump $r$, seen in the downstream frame, behaves like $r \sim 2 + 1/\gamma _{\mathrm{up}}$, while MHD predicts 4 ($\gamma _{\mathrm{up}}$ is the Lorentz factor of the upstream measured in the downstream frame). Only pair plasmas are considered.