'I' and 'We' Identities – an Eliasian Perspective on Lesbian and Gay Identities'

Lesbian and gay sociology has witnessed a reflexive turn in recent years, which emphasises choice, self-creation and self-determination in the formation of sexual identities. Individuals are involved in, what Giddens (1991) called, a 'project of self' or a 'reflexive biography', which allows them to engage in a dynamic and constantly evolving process of defining and re-defining their self-identity. Identity becomes fluid, fragmented and plastic. In a recent issue of this journal, Brian Heaphy argued that such accounts of lesbian and gay reflexivity are partial and fail to take account of the ways in which structural factors continue to limit one's choice narrative and he proposed a move towards a reflexive sociology, rather than a sociology of reflexivity. This article seeks to develop Heaphy's argument further and suggests that the limitation of theories of reflexivity lies in their inability to adequately account for the continued significance of collectivity, interdependency and human relations in shaping an individual's identity. Drawing on Norbert Elias' figurational sociology, it will be argued that against a reflexive model of identity that privileges individualism, choice and creativity over collectivity and material constraints, there is a pressing need to revisit and re-establish our interdependent relationships with one another.Gay, Lesbian, Elias, Reflexivity, Figurational Sociology, Habitus

Genus two mutant knots with the same dimension in knot Floer and Khovanov homologies

We exhibit an infinite family of knots with isomorphic knot Heegaard Floer homology. Each knot in this infinite family admits a nontrivial genus two mutant which shares the same total dimension in both knot Floer homology and Khovanov homology. Each knot is distinguished from its genus two mutant by both knot Floer homology and Khovanov homology as bigraded groups. Additionally, for both knot Heegaard Floer homology and Khovanov homology, the genus two mutation interchanges the groups in $\delta$-gradings $k$ and $-k$.Comment: Information about $\delta$-graded homology has been changed along with statement of Theorem 1 and Table 1. Significant changes to Section

Using complex adaptive systems to investigate Aboriginal-tourism relationships in Purnululu National Park: exploring the role of capital

Resource management systems such as national parks are complex and dynamic with strong interdependencies between their human and ecological components. Their management has become more difficult as scale, impacts and consequences have increased and local communities have become increasingly involved. Increasing pressures from tourism have added to this management complexity. Complex adaptive systems thinking, and especially the metaphor of the adaptive cycle (Holling 2001), can potentially enhance our understanding of these resource systems, including national parks. The concept of the adaptive cycle can help understand changes over time in a system such as a national park

Surgery on links of linking number zero and the Heegaard Floer dd-invariant

We study Heegaard Floer homology and various related invariants (such as the $h$-function) for two-component L-space links with linking number zero. For such links, we explicitly describe the relationship between the $h$-function, the Sato-Levine invariant and the Casson invariant. We give a formula for the Heegaard Floer $d$-invariants of integral surgeries on two-component L-space links of linking number zero in terms of the $h$-function, generalizing a formula of Ni and Wu. As a consequence, for such links with unknotted components, we characterize L-space surgery slopes in terms of the $\nu^{+}$-invariants of the knots obtained from blowing down the components. We give a proof of a skein inequality for the $d$-invariants of $+1$ surgeries along linking number zero links that differ by a crossing change. We also describe bounds on the smooth four-genus of links in terms of the $h$-function, expanding on previous work of the second author, and use these bounds to calculate the four-genus in several examples of links.Comment: This version accepted for publication in Quantum Topolog