João Miguel Nogueira

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Publications

 

Infinitely many meridional essential surfaces of bounded genus in hyperbolic knot exteriors,

To appear in Geometriae Dedicata (2021).

 

 

 

On unknotting tunnel systems of satellite chain links,

(with D. Girão and A. Salgueiro)

To appear in Algebraic and Geometric Topology (2021).

 

 

 

On links minimizing the tunnel number,

(with D. Girão and A. Salgueiro)

J. Knot Theory Ramifications 28 no. 13 (2019), 1940014 (12 pp).

 

 

 

Knot exterior with all possible meridional essential surfaces,

Israel Journal of Mathematics 225 no. 2 (2018), 909-924.

 

 

 

The number of strings on essential tangle decompositions of a knot can be unbounded,

Algebraic and Geometric Topology 16 no. 5 (2016), 2535–2548.

 

 

 

Prime knot complements with meridional essential surfaces of arbitrarily high genus,

Topology and its Applications 194 (2015), 427-439.

 

 

Fiber surfaces from alternating states,

(with D. Girão and A. Salgueiro)

Algebraic and Geometric Topology 15 no. 5 (2015), 2803-2815.

 

 

 

The minimum crossing number of essential tangles,

(with A. Salgueiro)

J. Knot Theory Ramifications 23 no. 10 (2014), 1450054 (15 pp).

 

 

Tunnel number degeneration under the connected sum of prime knots,

Topology and its Applications 160 no. 9 (2013), 1017-1044.  

 

 

 

Incompressible surfaces in handlebodies and boundary reducible 3-manifolds,

(with H. Segerman)

Topology and its Applications 158 no. 4 (2011), 551-571.