Laurence H. Mayther

collaborators

7 papers

math.AT2026

Topological properties of closed $G_{2}$ , $SL (3; C)$ and $SL (3; R)^{2}$ forms on manifolds

Laurence H. Mayther

This paper uses algebro-topological techniques such as characteristic classes and obstruction theory, together with the $h$ -principles for $G_{2}$ and $\mathrm{S…

math.GT2026

The relative $h$ -principle for closed $SL (3; R)^{2}$ 3-forms

Laurence H. Mayther

This paper uses convex integration with avoidance and transversality arguments to prove the relative $h$ -principle for closed $SL (3; R)^{2}$ 3-forms on oriented 6-ma…

math.DG2026

Relative $h$ -principles for closed stable forms

Laurence H. Mayther

This paper uses convex integration to develop a new, general method for proving relative $h$ -principles for closed, stable, exterior forms on manifolds. This method is applied to p…

math.DG2026

Spectral invariants of Joyce orbifolds

Laurence H. Mayther

This paper introduces two new spectral invariants of torsion-free $G_{2}$ -structures on closed orbifolds and computes their values on all Joyce orbifolds. These invariants a…

math.DG2026

Unboundedness above and below of the Donaldson-Hitchin functionals on $G_{2}$ - and $G_{2}$ -forms

Laurence H. Mayther

This paper combines explicit local calculations with covering arguments to prove the unboundedness above and below (in a logarithmic sense) of the Donaldson-Hitchin functionals on…

math.DG2026

Unboundedness above of the Hitchin functional on $G_{2}$ 3-forms and associated collapsing results

Laurence H. Mayther

This paper uses scaling arguments to prove the unboundedness above of the Hitchin functional on closed $G_{2}$ 3-forms for two explicit closed 7-manifolds. The first manifol…

Topological properties of closed G2​, SL(3;C) and SL(3;R)2 forms on manifolds

The relative h-principle for closed SL(3;R)2 3-forms

Relative h-principles for closed stable forms

Spectral invariants of Joyce orbifolds

Unboundedness above and below of the Donaldson-Hitchin functionals on G2​- and G2​-forms

Unboundedness above of the Hitchin functional on G2​ 3-forms and associated collapsing results

Topological properties of closed $G_{2}$ , $SL (3; C)$ and $SL (3; R)^{2}$ forms on manifolds

The relative $h$ -principle for closed $SL (3; R)^{2}$ 3-forms

Relative $h$ -principles for closed stable forms

Unboundedness above and below of the Donaldson-Hitchin functionals on $G_{2}$ - and $G_{2}$ -forms

Unboundedness above of the Hitchin functional on $G_{2}$ 3-forms and associated collapsing results